Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(67,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 40]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.z (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(768\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 67.5 | ||
Character | \(\chi\) | \(=\) | 731.67 |
Dual form | 731.2.z.a.611.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{20}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.53756 | + | 1.92804i | −1.08722 | + | 1.36333i | −0.160730 | + | 0.986998i | \(0.551385\pi\) |
−0.926486 | + | 0.376328i | \(0.877186\pi\) | |||||||
\(3\) | −0.193458 | − | 1.28351i | −0.111693 | − | 0.741035i | −0.972636 | − | 0.232334i | \(-0.925364\pi\) |
0.860943 | − | 0.508701i | \(-0.169874\pi\) | |||||||
\(4\) | −0.908197 | − | 3.97907i | −0.454098 | − | 1.98954i | ||||
\(5\) | 0.441633 | + | 0.647756i | 0.197504 | + | 0.289685i | 0.912196 | − | 0.409754i | \(-0.134385\pi\) |
−0.714692 | + | 0.699439i | \(0.753433\pi\) | |||||||
\(6\) | 2.77211 | + | 1.60048i | 1.13171 | + | 0.653392i | ||||
\(7\) | 4.06857 | − | 2.34899i | 1.53778 | − | 0.887835i | 0.538807 | − | 0.842429i | \(-0.318875\pi\) |
0.998969 | − | 0.0454064i | \(-0.0144583\pi\) | |||||||
\(8\) | 4.62452 | + | 2.22705i | 1.63502 | + | 0.787382i | ||||
\(9\) | 1.25675 | − | 0.387655i | 0.418915 | − | 0.129218i | ||||
\(10\) | −1.92793 | − | 0.144478i | −0.609665 | − | 0.0456881i | ||||
\(11\) | 1.00441 | + | 0.229251i | 0.302842 | + | 0.0691217i | 0.371242 | − | 0.928536i | \(-0.378932\pi\) |
−0.0683996 | + | 0.997658i | \(0.521789\pi\) | |||||||
\(12\) | −4.93148 | + | 1.93546i | −1.42360 | + | 0.558720i | ||||
\(13\) | −0.0853578 | − | 1.13902i | −0.0236740 | − | 0.315907i | −0.996452 | − | 0.0841670i | \(-0.973177\pi\) |
0.972778 | − | 0.231740i | \(-0.0744420\pi\) | |||||||
\(14\) | −1.72672 | + | 11.4561i | −0.461486 | + | 3.06176i | ||||
\(15\) | 0.745964 | − | 0.692154i | 0.192607 | − | 0.178713i | ||||
\(16\) | −4.04988 | + | 1.95032i | −1.01247 | + | 0.487579i | ||||
\(17\) | −2.65712 | − | 3.15273i | −0.644447 | − | 0.764649i | ||||
\(18\) | −1.18491 | + | 3.01909i | −0.279285 | + | 0.711607i | ||||
\(19\) | −2.48008 | − | 0.765003i | −0.568969 | − | 0.175504i | −0.00309488 | − | 0.999995i | \(-0.500985\pi\) |
−0.565874 | + | 0.824491i | \(0.691461\pi\) | |||||||
\(20\) | 2.17638 | − | 2.34558i | 0.486653 | − | 0.524487i | ||||
\(21\) | −3.80205 | − | 4.76762i | −0.829676 | − | 1.04038i | ||||
\(22\) | −1.98635 | + | 1.58406i | −0.423490 | + | 0.337722i | ||||
\(23\) | −0.877607 | + | 0.945835i | −0.182994 | + | 0.197220i | −0.817886 | − | 0.575380i | \(-0.804854\pi\) |
0.634892 | + | 0.772601i | \(0.281044\pi\) | |||||||
\(24\) | 1.96379 | − | 6.36647i | 0.400858 | − | 1.29955i | ||||
\(25\) | 1.60216 | − | 4.08223i | 0.320431 | − | 0.816446i | ||||
\(26\) | 2.32731 | + | 1.58674i | 0.456424 | + | 0.311184i | ||||
\(27\) | −2.43024 | − | 5.04645i | −0.467700 | − | 0.971189i | ||||
\(28\) | −13.0419 | − | 14.0558i | −2.46468 | − | 2.65629i | ||||
\(29\) | −0.280085 | + | 1.85824i | −0.0520105 | + | 0.345067i | 0.947657 | + | 0.319290i | \(0.103444\pi\) |
−0.999668 | + | 0.0257776i | \(0.991794\pi\) | |||||||
\(30\) | 0.187534 | + | 2.50247i | 0.0342389 | + | 0.456886i | ||||
\(31\) | −7.11867 | + | 2.79387i | −1.27855 | + | 0.501794i | −0.904840 | − | 0.425751i | \(-0.860010\pi\) |
−0.373711 | + | 0.927545i | \(0.621915\pi\) | |||||||
\(32\) | 0.182307 | − | 0.798741i | 0.0322277 | − | 0.141199i | ||||
\(33\) | 0.0999339 | − | 1.33353i | 0.0173963 | − | 0.232137i | ||||
\(34\) | 10.1640 | − | 0.275525i | 1.74312 | − | 0.0472521i | ||||
\(35\) | 3.31839 | + | 1.59805i | 0.560910 | + | 0.270120i | ||||
\(36\) | −2.68388 | − | 4.64861i | −0.447313 | − | 0.774769i | ||||
\(37\) | 0.902913 | + | 0.521297i | 0.148438 | + | 0.0857007i | 0.572379 | − | 0.819989i | \(-0.306020\pi\) |
−0.423941 | + | 0.905690i | \(0.639354\pi\) | |||||||
\(38\) | 5.28822 | − | 3.60545i | 0.857862 | − | 0.584880i | ||||
\(39\) | −1.44543 | + | 0.329910i | −0.231454 | + | 0.0528279i | ||||
\(40\) | 0.599753 | + | 3.97910i | 0.0948293 | + | 0.629151i | ||||
\(41\) | 0.962317 | + | 0.767422i | 0.150289 | + | 0.119851i | 0.695748 | − | 0.718286i | \(-0.255073\pi\) |
−0.545459 | + | 0.838138i | \(0.683645\pi\) | |||||||
\(42\) | 15.0380 | 2.32042 | ||||||||
\(43\) | 3.97763 | − | 5.21330i | 0.606583 | − | 0.795021i | ||||
\(44\) | − | 4.20484i | − | 0.633903i | ||||||
\(45\) | 0.806125 | + | 0.642864i | 0.120170 | + | 0.0958324i | ||||
\(46\) | −0.474233 | − | 3.14633i | −0.0699219 | − | 0.463901i | ||||
\(47\) | 0.205362 | + | 0.899749i | 0.0299551 | + | 0.131242i | 0.987695 | − | 0.156395i | \(-0.0499874\pi\) |
−0.957739 | + | 0.287637i | \(0.907130\pi\) | |||||||
\(48\) | 3.28673 | + | 4.82075i | 0.474399 | + | 0.695816i | ||||
\(49\) | 7.53552 | − | 13.0519i | 1.07650 | − | 1.86456i | ||||
\(50\) | 5.40727 | + | 9.36567i | 0.764704 | + | 1.32451i | ||||
\(51\) | −3.53252 | + | 4.02036i | −0.494652 | + | 0.562964i | ||||
\(52\) | −4.45472 | + | 1.37410i | −0.617758 | + | 0.190553i | ||||
\(53\) | −0.461837 | + | 6.16278i | −0.0634381 | + | 0.846523i | 0.871201 | + | 0.490926i | \(0.163341\pi\) |
−0.934639 | + | 0.355597i | \(0.884278\pi\) | |||||||
\(54\) | 13.4664 | + | 3.07361i | 1.83254 | + | 0.418265i | ||||
\(55\) | 0.295083 | + | 0.751859i | 0.0397890 | + | 0.101381i | ||||
\(56\) | 24.0465 | − | 1.80204i | 3.21335 | − | 0.240808i | ||||
\(57\) | −0.502098 | + | 3.33120i | −0.0665045 | + | 0.441229i | ||||
\(58\) | −3.15211 | − | 3.39717i | −0.413893 | − | 0.446070i | ||||
\(59\) | 9.03450 | − | 4.35078i | 1.17619 | − | 0.566424i | 0.259392 | − | 0.965772i | \(-0.416478\pi\) |
0.916799 | + | 0.399348i | \(0.130764\pi\) | |||||||
\(60\) | −3.43161 | − | 2.33963i | −0.443019 | − | 0.302045i | ||||
\(61\) | 7.49480 | + | 2.94149i | 0.959611 | + | 0.376620i | 0.792877 | − | 0.609382i | \(-0.208582\pi\) |
0.166735 | + | 0.986002i | \(0.446678\pi\) | |||||||
\(62\) | 5.55868 | − | 18.0208i | 0.705953 | − | 2.28864i | ||||
\(63\) | 4.20256 | − | 4.52929i | 0.529473 | − | 0.570636i | ||||
\(64\) | −4.34551 | − | 5.44910i | −0.543189 | − | 0.681137i | ||||
\(65\) | 0.700110 | − | 0.558319i | 0.0868380 | − | 0.0692510i | ||||
\(66\) | 2.41743 | + | 2.24305i | 0.297565 | + | 0.276100i | ||||
\(67\) | −8.48413 | − | 2.61701i | −1.03650 | − | 0.319718i | −0.270610 | − | 0.962689i | \(-0.587225\pi\) |
−0.765891 | + | 0.642971i | \(0.777702\pi\) | |||||||
\(68\) | −10.1317 | + | 13.4362i | −1.22865 | + | 1.62938i | ||||
\(69\) | 1.38377 | + | 0.943438i | 0.166586 | + | 0.113577i | ||||
\(70\) | −8.18331 | + | 3.94087i | −0.978092 | + | 0.471024i | ||||
\(71\) | −5.06503 | − | 5.45881i | −0.601109 | − | 0.647841i | 0.357048 | − | 0.934086i | \(-0.383783\pi\) |
−0.958156 | + | 0.286245i | \(0.907593\pi\) | |||||||
\(72\) | 6.67518 | + | 1.00612i | 0.786677 | + | 0.118573i | ||||
\(73\) | 2.25263 | − | 0.168811i | 0.263651 | − | 0.0197579i | 0.0577511 | − | 0.998331i | \(-0.481607\pi\) |
0.205900 | + | 0.978573i | \(0.433988\pi\) | |||||||
\(74\) | −2.39336 | + | 0.939324i | −0.278222 | + | 0.109194i | ||||
\(75\) | −5.54953 | − | 1.26664i | −0.640805 | − | 0.146260i | ||||
\(76\) | −0.791601 | + | 10.5632i | −0.0908029 | + | 1.21168i | ||||
\(77\) | 4.62504 | − | 1.42663i | 0.527072 | − | 0.162580i | ||||
\(78\) | 1.58635 | − | 3.29410i | 0.179619 | − | 0.372983i | ||||
\(79\) | −7.44498 | + | 4.29836i | −0.837625 | + | 0.483603i | −0.856456 | − | 0.516219i | \(-0.827339\pi\) |
0.0188309 | + | 0.999823i | \(0.494006\pi\) | |||||||
\(80\) | −3.05189 | − | 1.76201i | −0.341211 | − | 0.196998i | ||||
\(81\) | −2.74707 | + | 1.87292i | −0.305230 | + | 0.208102i | ||||
\(82\) | −2.95923 | + | 0.675426i | −0.326793 | + | 0.0745883i | ||||
\(83\) | 9.68657 | − | 1.46002i | 1.06324 | − | 0.160258i | 0.405950 | − | 0.913895i | \(-0.366941\pi\) |
0.657290 | + | 0.753638i | \(0.271703\pi\) | |||||||
\(84\) | −15.5177 | + | 19.4586i | −1.69312 | + | 2.12310i | ||||
\(85\) | 0.868728 | − | 3.11351i | 0.0942267 | − | 0.337708i | ||||
\(86\) | 3.93559 | + | 15.6847i | 0.424386 | + | 1.69133i | ||||
\(87\) | 2.43926 | 0.261516 | ||||||||
\(88\) | 4.13438 | + | 3.29706i | 0.440726 | + | 0.351468i | ||||
\(89\) | −5.31332 | + | 0.800854i | −0.563211 | + | 0.0848904i | −0.424476 | − | 0.905439i | \(-0.639542\pi\) |
−0.138735 | + | 0.990330i | \(0.544304\pi\) | |||||||
\(90\) | −2.47893 | + | 0.565799i | −0.261302 | + | 0.0596404i | ||||
\(91\) | −3.02283 | − | 4.43368i | −0.316879 | − | 0.464776i | ||||
\(92\) | 4.56058 | + | 2.63305i | 0.475474 | + | 0.274515i | ||||
\(93\) | 4.96313 | + | 8.59639i | 0.514653 | + | 0.891404i | ||||
\(94\) | −2.05050 | − | 0.987470i | −0.211493 | − | 0.101850i | ||||
\(95\) | −0.599749 | − | 1.94434i | −0.0615329 | − | 0.199485i | ||||
\(96\) | −1.06046 | − | 0.0794706i | −0.108233 | − | 0.00811093i | ||||
\(97\) | 11.2644 | + | 2.57104i | 1.14373 | + | 0.261049i | 0.752085 | − | 0.659066i | \(-0.229048\pi\) |
0.391647 | + | 0.920116i | \(0.371906\pi\) | |||||||
\(98\) | 13.5782 | + | 34.5968i | 1.37161 | + | 3.49480i | ||||
\(99\) | 1.35116 | − | 0.101256i | 0.135797 | − | 0.0101766i | ||||
\(100\) | −17.6985 | − | 2.66763i | −1.76985 | − | 0.266763i | ||||
\(101\) | −3.39446 | + | 3.14960i | −0.337761 | + | 0.313397i | −0.830757 | − | 0.556635i | \(-0.812092\pi\) |
0.492996 | + | 0.870032i | \(0.335902\pi\) | |||||||
\(102\) | −2.31996 | − | 12.9924i | −0.229710 | − | 1.28644i | ||||
\(103\) | 1.90092 | + | 1.29603i | 0.187304 | + | 0.127701i | 0.653341 | − | 0.757063i | \(-0.273367\pi\) |
−0.466038 | + | 0.884765i | \(0.654319\pi\) | |||||||
\(104\) | 2.14192 | − | 5.45752i | 0.210032 | − | 0.535154i | ||||
\(105\) | 1.40915 | − | 4.56834i | 0.137519 | − | 0.445824i | ||||
\(106\) | −11.1720 | − | 10.3661i | −1.08512 | − | 1.00684i | ||||
\(107\) | 6.20569 | − | 4.94887i | 0.599927 | − | 0.478426i | −0.275811 | − | 0.961212i | \(-0.588947\pi\) |
0.875738 | + | 0.482786i | \(0.160375\pi\) | |||||||
\(108\) | −17.8730 | + | 14.2533i | −1.71983 | + | 1.37152i | ||||
\(109\) | −1.16928 | + | 1.26019i | −0.111997 | + | 0.120704i | −0.786562 | − | 0.617512i | \(-0.788141\pi\) |
0.674565 | + | 0.738216i | \(0.264331\pi\) | |||||||
\(110\) | −1.90332 | − | 0.587096i | −0.181474 | − | 0.0559774i | ||||
\(111\) | 0.494414 | − | 1.25975i | 0.0469277 | − | 0.119570i | ||||
\(112\) | −11.8959 | + | 17.4481i | −1.12406 | + | 1.64869i | ||||
\(113\) | 7.49921 | + | 15.5723i | 0.705466 | + | 1.46492i | 0.877376 | + | 0.479803i | \(0.159292\pi\) |
−0.171910 | + | 0.985113i | \(0.554994\pi\) | |||||||
\(114\) | −5.65067 | − | 6.08998i | −0.529234 | − | 0.570379i | ||||
\(115\) | −1.00025 | − | 0.150763i | −0.0932738 | − | 0.0140588i | ||||
\(116\) | 7.64845 | − | 0.573172i | 0.710141 | − | 0.0532177i | ||||
\(117\) | −0.548819 | − | 1.39837i | −0.0507384 | − | 0.129279i | ||||
\(118\) | −5.50258 | + | 24.1084i | −0.506554 | + | 2.21936i | ||||
\(119\) | −18.2164 | − | 6.58555i | −1.66990 | − | 0.603696i | ||||
\(120\) | 4.99119 | − | 1.53958i | 0.455631 | − | 0.140544i | ||||
\(121\) | −8.95437 | − | 4.31220i | −0.814033 | − | 0.392018i | ||||
\(122\) | −17.1950 | + | 9.92753i | −1.55676 | + | 0.898796i | ||||
\(123\) | 0.798826 | − | 1.38361i | 0.0720278 | − | 0.124756i | ||||
\(124\) | 17.5822 | + | 25.7883i | 1.57893 | + | 2.31586i | ||||
\(125\) | 7.17348 | − | 1.63730i | 0.641616 | − | 0.146445i | ||||
\(126\) | 2.27094 | + | 15.0667i | 0.202312 | + | 1.34225i | ||||
\(127\) | 5.95284 | − | 7.46462i | 0.528229 | − | 0.662378i | −0.444105 | − | 0.895975i | \(-0.646478\pi\) |
0.972334 | + | 0.233597i | \(0.0750496\pi\) | |||||||
\(128\) | 18.8261 | 1.66401 | ||||||||
\(129\) | −7.46083 | − | 4.09677i | −0.656889 | − | 0.360701i | ||||
\(130\) | 2.20828i | 0.193679i | ||||||||
\(131\) | 3.40753 | + | 2.71742i | 0.297718 | + | 0.237422i | 0.760943 | − | 0.648819i | \(-0.224737\pi\) |
−0.463226 | + | 0.886240i | \(0.653308\pi\) | |||||||
\(132\) | −5.39695 | + | 0.813459i | −0.469744 | + | 0.0708026i | ||||
\(133\) | −11.8874 | + | 2.71322i | −1.03077 | + | 0.235266i | ||||
\(134\) | 18.0905 | − | 12.3339i | 1.56278 | − | 1.06549i | ||||
\(135\) | 2.19559 | − | 3.80288i | 0.188966 | − | 0.327300i | ||||
\(136\) | −5.26663 | − | 20.4974i | −0.451610 | − | 1.75764i | ||||
\(137\) | −12.3069 | − | 5.92669i | −1.05145 | − | 0.506351i | −0.173365 | − | 0.984858i | \(-0.555464\pi\) |
−0.878084 | + | 0.478506i | \(0.841178\pi\) | |||||||
\(138\) | −3.94661 | + | 1.21737i | −0.335957 | + | 0.103629i | ||||
\(139\) | 5.83920 | + | 0.437587i | 0.495274 | + | 0.0371157i | 0.320026 | − | 0.947409i | \(-0.396308\pi\) |
0.175248 | + | 0.984524i | \(0.443927\pi\) | |||||||
\(140\) | 3.34501 | − | 14.6554i | 0.282705 | − | 1.23861i | ||||
\(141\) | 1.11511 | − | 0.437647i | 0.0939090 | − | 0.0368566i | ||||
\(142\) | 18.3125 | − | 1.37234i | 1.53675 | − | 0.115164i | ||||
\(143\) | 0.175387 | − | 1.16362i | 0.0146666 | − | 0.0973064i | ||||
\(144\) | −4.33362 | + | 4.02101i | −0.361135 | + | 0.335084i | ||||
\(145\) | −1.32738 | + | 0.639234i | −0.110233 | + | 0.0530855i | ||||
\(146\) | −3.13808 | + | 4.60271i | −0.259709 | + | 0.380923i | ||||
\(147\) | −18.2101 | − | 7.14692i | −1.50194 | − | 0.589468i | ||||
\(148\) | 1.25426 | − | 4.06620i | 0.103099 | − | 0.334239i | ||||
\(149\) | 2.66080 | + | 2.46886i | 0.217981 | + | 0.202257i | 0.781603 | − | 0.623776i | \(-0.214402\pi\) |
−0.563622 | + | 0.826033i | \(0.690593\pi\) | |||||||
\(150\) | 10.9749 | − | 8.75216i | 0.896093 | − | 0.714610i | ||||
\(151\) | −11.9303 | − | 14.9601i | −0.970875 | − | 1.21744i | −0.976071 | − | 0.217453i | \(-0.930225\pi\) |
0.00519540 | − | 0.999987i | \(-0.498346\pi\) | |||||||
\(152\) | −9.76549 | − | 9.06105i | −0.792086 | − | 0.734948i | ||||
\(153\) | −4.56150 | − | 2.93213i | −0.368775 | − | 0.237049i | ||||
\(154\) | −4.36065 | + | 11.1108i | −0.351392 | + | 0.895331i | ||||
\(155\) | −4.95359 | − | 3.37730i | −0.397882 | − | 0.271271i | ||||
\(156\) | 2.62547 | + | 5.45185i | 0.210206 | + | 0.436497i | ||||
\(157\) | 17.2968 | − | 16.0491i | 1.38043 | − | 1.28086i | 0.461116 | − | 0.887340i | \(-0.347449\pi\) |
0.919318 | − | 0.393516i | \(-0.128741\pi\) | |||||||
\(158\) | 3.15969 | − | 20.9632i | 0.251371 | − | 1.66774i | ||||
\(159\) | 7.99934 | − | 0.599468i | 0.634389 | − | 0.0475409i | ||||
\(160\) | 0.597902 | − | 0.234659i | 0.0472683 | − | 0.0185515i | ||||
\(161\) | −1.34885 | + | 5.90969i | −0.106304 | + | 0.465749i | ||||
\(162\) | 0.612719 | − | 8.17617i | 0.0481397 | − | 0.642380i | ||||
\(163\) | 5.09625 | + | 16.5216i | 0.399169 | + | 1.29407i | 0.902765 | + | 0.430135i | \(0.141534\pi\) |
−0.503596 | + | 0.863940i | \(0.667990\pi\) | |||||||
\(164\) | 2.17965 | − | 4.52610i | 0.170202 | − | 0.353429i | ||||
\(165\) | 0.907933 | − | 0.524195i | 0.0706825 | − | 0.0408086i | ||||
\(166\) | −12.0787 | + | 20.9209i | −0.937488 | + | 1.62378i | ||||
\(167\) | −9.86236 | − | 14.4654i | −0.763173 | − | 1.11937i | −0.989389 | − | 0.145291i | \(-0.953588\pi\) |
0.226216 | − | 0.974077i | \(-0.427364\pi\) | |||||||
\(168\) | −6.96493 | − | 30.5154i | −0.537356 | − | 2.35431i | ||||
\(169\) | 11.5647 | − | 1.74310i | 0.889594 | − | 0.134085i | ||||
\(170\) | 4.66725 | + | 6.46214i | 0.357962 | + | 0.495624i | ||||
\(171\) | −3.41339 | −0.261028 | ||||||||
\(172\) | −24.3566 | − | 11.0926i | −1.85717 | − | 0.845800i | ||||
\(173\) | 13.9695i | 1.06208i | 0.847345 | + | 0.531042i | \(0.178200\pi\) | ||||
−0.847345 | + | 0.531042i | \(0.821800\pi\) | |||||||
\(174\) | −3.75050 | + | 4.70298i | −0.284325 | + | 0.356532i | ||||
\(175\) | −3.07063 | − | 20.3723i | −0.232118 | − | 1.54000i | ||||
\(176\) | −4.51486 | + | 1.03049i | −0.340321 | + | 0.0776759i | ||||
\(177\) | −7.33207 | − | 10.7542i | −0.551112 | − | 0.808333i | ||||
\(178\) | 6.62546 | − | 11.4756i | 0.496599 | − | 0.860135i | ||||
\(179\) | 1.09088 | + | 1.88947i | 0.0815364 | + | 0.141225i | 0.903910 | − | 0.427723i | \(-0.140684\pi\) |
−0.822374 | + | 0.568948i | \(0.807351\pi\) | |||||||
\(180\) | 1.82588 | − | 3.79148i | 0.136093 | − | 0.282600i | ||||
\(181\) | 4.58819 | + | 14.8745i | 0.341037 | + | 1.10562i | 0.949956 | + | 0.312384i | \(0.101127\pi\) |
−0.608919 | + | 0.793233i | \(0.708396\pi\) | |||||||
\(182\) | 13.1961 | + | 0.988909i | 0.978158 | + | 0.0733028i | ||||
\(183\) | 2.32551 | − | 10.1887i | 0.171906 | − | 0.753171i | ||||
\(184\) | −6.16494 | + | 2.41956i | −0.454485 | + | 0.178372i | ||||
\(185\) | 0.0610825 | + | 0.815089i | 0.00449087 | + | 0.0599266i | ||||
\(186\) | −24.2052 | − | 3.64835i | −1.77481 | − | 0.267510i | ||||
\(187\) | −1.94608 | − | 3.77579i | −0.142312 | − | 0.276113i | ||||
\(188\) | 3.39365 | − | 1.63430i | 0.247508 | − | 0.119193i | ||||
\(189\) | −21.7417 | − | 14.8232i | −1.58147 | − | 1.07823i | ||||
\(190\) | 4.67090 | + | 1.83319i | 0.338863 | + | 0.132994i | ||||
\(191\) | 1.37940 | + | 0.425488i | 0.0998097 | + | 0.0307872i | 0.344258 | − | 0.938875i | \(-0.388131\pi\) |
−0.244448 | + | 0.969662i | \(0.578607\pi\) | |||||||
\(192\) | −6.15330 | + | 6.63168i | −0.444076 | + | 0.478600i | ||||
\(193\) | −3.25248 | + | 2.59377i | −0.234119 | + | 0.186704i | −0.733521 | − | 0.679667i | \(-0.762124\pi\) |
0.499402 | + | 0.866370i | \(0.333553\pi\) | |||||||
\(194\) | −22.2768 | + | 17.7651i | −1.59938 | + | 1.27546i | ||||
\(195\) | −0.852051 | − | 0.790587i | −0.0610166 | − | 0.0566151i | ||||
\(196\) | −58.7782 | − | 18.1307i | −4.19844 | − | 1.29505i | ||||
\(197\) | −23.1957 | − | 9.10364i | −1.65262 | − | 0.648607i | −0.658083 | − | 0.752946i | \(-0.728632\pi\) |
−0.994542 | + | 0.104338i | \(0.966728\pi\) | |||||||
\(198\) | −1.88226 | + | 2.76077i | −0.133767 | + | 0.196200i | ||||
\(199\) | 3.49627 | + | 7.26009i | 0.247844 | + | 0.514654i | 0.987362 | − | 0.158484i | \(-0.0506605\pi\) |
−0.739517 | + | 0.673138i | \(0.764946\pi\) | |||||||
\(200\) | 16.5006 | − | 15.3103i | 1.16677 | − | 1.08260i | ||||
\(201\) | −1.71763 | + | 11.3957i | −0.121152 | + | 0.803794i | ||||
\(202\) | −0.853362 | − | 11.3873i | −0.0600423 | − | 0.801209i | ||||
\(203\) | 3.22545 | + | 8.21832i | 0.226382 | + | 0.576813i | ||||
\(204\) | 19.2055 | + | 10.4049i | 1.34466 | + | 0.728486i | ||||
\(205\) | −0.0721118 | + | 0.962265i | −0.00503651 | + | 0.0672075i | ||||
\(206\) | −5.42156 | + | 1.67233i | −0.377738 | + | 0.116517i | ||||
\(207\) | −0.736271 | + | 1.52888i | −0.0511744 | + | 0.106265i | ||||
\(208\) | 2.56714 | + | 4.44642i | 0.177999 | + | 0.308303i | ||||
\(209\) | −2.31565 | − | 1.33694i | −0.160177 | − | 0.0924781i | ||||
\(210\) | 6.64128 | + | 9.74097i | 0.458292 | + | 0.672191i | ||||
\(211\) | 2.20880 | − | 0.504144i | 0.152060 | − | 0.0347067i | −0.145813 | − | 0.989312i | \(-0.546580\pi\) |
0.297873 | + | 0.954605i | \(0.403723\pi\) | |||||||
\(212\) | 24.9416 | − | 3.75934i | 1.71299 | − | 0.258192i | ||||
\(213\) | −6.02656 | + | 7.55707i | −0.412933 | + | 0.517802i | ||||
\(214\) | 19.5740i | 1.33805i | ||||||||
\(215\) | 5.13360 | + | 0.274170i | 0.350108 | + | 0.0186982i | ||||
\(216\) | − | 28.7497i | − | 1.95617i | ||||||
\(217\) | −22.4001 | + | 28.0888i | −1.52061 | + | 1.90679i | ||||
\(218\) | −0.631846 | − | 4.19202i | −0.0427940 | − | 0.283920i | ||||
\(219\) | −0.652461 | − | 2.85862i | −0.0440892 | − | 0.193168i | ||||
\(220\) | 2.72371 | − | 1.85699i | 0.183632 | − | 0.125198i | ||||
\(221\) | −3.36422 | + | 3.29563i | −0.226302 | + | 0.221688i | ||||
\(222\) | 1.66865 | + | 2.89018i | 0.111992 | + | 0.193976i | ||||
\(223\) | 11.2270 | + | 5.40663i | 0.751814 | + | 0.362055i | 0.770222 | − | 0.637776i | \(-0.220145\pi\) |
−0.0184079 | + | 0.999831i | \(0.505860\pi\) | |||||||
\(224\) | −1.13451 | − | 3.67798i | −0.0758023 | − | 0.245745i | ||||
\(225\) | 0.431008 | − | 5.75141i | 0.0287339 | − | 0.383427i | ||||
\(226\) | −41.5543 | − | 9.48451i | −2.76415 | − | 0.630900i | ||||
\(227\) | 23.2290 | − | 9.11672i | 1.54176 | − | 0.605098i | 0.566094 | − | 0.824341i | \(-0.308454\pi\) |
0.975670 | + | 0.219243i | \(0.0703589\pi\) | |||||||
\(228\) | 13.7111 | − | 1.02750i | 0.908040 | − | 0.0680482i | ||||
\(229\) | −6.75296 | − | 1.01784i | −0.446248 | − | 0.0672610i | −0.0779255 | − | 0.996959i | \(-0.524830\pi\) |
−0.368322 | + | 0.929698i | \(0.620068\pi\) | |||||||
\(230\) | 1.82862 | − | 1.69671i | 0.120576 | − | 0.111878i | ||||
\(231\) | −2.72585 | − | 5.66029i | −0.179348 | − | 0.372420i | ||||
\(232\) | −5.43367 | + | 7.96973i | −0.356738 | + | 0.523238i | ||||
\(233\) | 15.2841 | + | 5.99856i | 1.00129 | + | 0.392979i | 0.808650 | − | 0.588290i | \(-0.200199\pi\) |
0.192644 | + | 0.981269i | \(0.438294\pi\) | |||||||
\(234\) | 3.53995 | + | 1.09193i | 0.231414 | + | 0.0713816i | ||||
\(235\) | −0.492123 | + | 0.530383i | −0.0321026 | + | 0.0345983i | ||||
\(236\) | −25.5172 | − | 31.9975i | −1.66103 | − | 2.08286i | ||||
\(237\) | 6.95728 | + | 8.72415i | 0.451924 | + | 0.566695i | ||||
\(238\) | 40.7060 | − | 24.9963i | 2.63858 | − | 1.62027i | ||||
\(239\) | −24.9775 | − | 7.70454i | −1.61566 | − | 0.498365i | −0.650386 | − | 0.759604i | \(-0.725393\pi\) |
−0.965274 | + | 0.261239i | \(0.915869\pi\) | |||||||
\(240\) | −1.67114 | + | 4.25800i | −0.107872 | + | 0.274853i | ||||
\(241\) | −13.7850 | + | 20.2189i | −0.887970 | + | 1.30241i | 0.0645437 | + | 0.997915i | \(0.479441\pi\) |
−0.952513 | + | 0.304497i | \(0.901512\pi\) | |||||||
\(242\) | 22.0819 | − | 10.6341i | 1.41948 | − | 0.683585i | ||||
\(243\) | −8.49386 | − | 9.15420i | −0.544881 | − | 0.587242i | ||||
\(244\) | 4.89765 | − | 32.4938i | 0.313540 | − | 2.08020i | ||||
\(245\) | 11.7824 | − | 0.882968i | 0.752749 | − | 0.0564107i | ||||
\(246\) | 1.43940 | + | 3.66754i | 0.0917730 | + | 0.233834i | ||||
\(247\) | −0.659660 | + | 2.89016i | −0.0419732 | + | 0.183896i | ||||
\(248\) | −39.1426 | − | 2.93333i | −2.48556 | − | 0.186267i | ||||
\(249\) | −3.74789 | − | 12.1504i | −0.237513 | − | 0.769998i | ||||
\(250\) | −7.87286 | + | 16.3482i | −0.497923 | + | 1.03395i | ||||
\(251\) | 5.45448 | + | 9.44744i | 0.344284 | + | 0.596317i | 0.985223 | − | 0.171274i | \(-0.0547885\pi\) |
−0.640940 | + | 0.767591i | \(0.721455\pi\) | |||||||
\(252\) | −21.8391 | − | 12.6088i | −1.37573 | − | 0.794281i | ||||
\(253\) | −1.09831 | + | 0.748817i | −0.0690504 | + | 0.0470777i | ||||
\(254\) | 5.23923 | + | 22.9546i | 0.328738 | + | 1.44030i | ||||
\(255\) | −4.16429 | − | 0.512686i | −0.260778 | − | 0.0321057i | ||||
\(256\) | −20.2552 | + | 25.3992i | −1.26595 | + | 1.58745i | ||||
\(257\) | 14.0163 | 0.874310 | 0.437155 | − | 0.899386i | \(-0.355986\pi\) | ||||
0.437155 | + | 0.899386i | \(0.355986\pi\) | |||||||
\(258\) | 19.3702 | − | 8.08572i | 1.20593 | − | 0.503395i | ||||
\(259\) | 4.89809 | 0.304353 | ||||||||
\(260\) | −2.85743 | − | 2.27872i | −0.177210 | − | 0.141320i | ||||
\(261\) | 0.368361 | + | 2.44392i | 0.0228010 | + | 0.151275i | ||||
\(262\) | −10.4786 | + | 2.39166i | −0.647367 | + | 0.147757i | ||||
\(263\) | 8.58851 | − | 5.85554i | 0.529590 | − | 0.361068i | −0.268812 | − | 0.963193i | \(-0.586631\pi\) |
0.798402 | + | 0.602124i | \(0.205679\pi\) | |||||||
\(264\) | 3.43198 | − | 5.94436i | 0.211224 | − | 0.365850i | ||||
\(265\) | −4.19594 | + | 2.42253i | −0.257755 | + | 0.148815i | ||||
\(266\) | 13.0463 | − | 27.0910i | 0.799922 | − | 1.66106i | ||||
\(267\) | 2.05581 | + | 6.66477i | 0.125814 | + | 0.407877i | ||||
\(268\) | −2.70800 | + | 36.1357i | −0.165417 | + | 2.20734i | ||||
\(269\) | 2.77850 | + | 0.634174i | 0.169408 | + | 0.0386663i | 0.306384 | − | 0.951908i | \(-0.400881\pi\) |
−0.136975 | + | 0.990574i | \(0.543738\pi\) | |||||||
\(270\) | 3.95623 | + | 10.0803i | 0.240769 | + | 0.613469i | ||||
\(271\) | 1.97147 | + | 26.3075i | 0.119758 | + | 1.59806i | 0.656505 | + | 0.754321i | \(0.272034\pi\) |
−0.536747 | + | 0.843743i | \(0.680347\pi\) | |||||||
\(272\) | 16.9098 | + | 7.58593i | 1.02531 | + | 0.459965i | ||||
\(273\) | −5.10588 | + | 4.73757i | −0.309022 | + | 0.286731i | ||||
\(274\) | 30.3494 | − | 14.6155i | 1.83348 | − | 0.882956i | ||||
\(275\) | 2.54508 | − | 3.73295i | 0.153474 | − | 0.225105i | ||||
\(276\) | 2.49727 | − | 6.36294i | 0.150318 | − | 0.383004i | ||||
\(277\) | −5.33991 | + | 17.3116i | −0.320844 | + | 1.04015i | 0.641227 | + | 0.767351i | \(0.278426\pi\) |
−0.962071 | + | 0.272799i | \(0.912050\pi\) | |||||||
\(278\) | −9.82178 | + | 10.5854i | −0.589071 | + | 0.634868i | ||||
\(279\) | −7.86330 | + | 6.27077i | −0.470764 | + | 0.375421i | ||||
\(280\) | 11.7870 | + | 14.7805i | 0.704409 | + | 0.883301i | ||||
\(281\) | −10.9610 | − | 10.1703i | −0.653878 | − | 0.606710i | 0.281839 | − | 0.959462i | \(-0.409056\pi\) |
−0.935717 | + | 0.352752i | \(0.885246\pi\) | |||||||
\(282\) | −0.870741 | + | 2.82287i | −0.0518519 | + | 0.168100i | ||||
\(283\) | 29.3212 | + | 11.5077i | 1.74297 | + | 0.684064i | 0.999890 | + | 0.0148592i | \(0.00473000\pi\) |
0.743078 | + | 0.669205i | \(0.233365\pi\) | |||||||
\(284\) | −17.1209 | + | 25.1118i | −1.01594 | + | 1.49011i | ||||
\(285\) | −2.37955 | + | 1.14593i | −0.140952 | + | 0.0678791i | ||||
\(286\) | 1.97382 | + | 2.12728i | 0.116715 | + | 0.125788i | ||||
\(287\) | 5.71793 | + | 0.861839i | 0.337518 | + | 0.0508727i | ||||
\(288\) | −0.0805217 | − | 1.07449i | −0.00474478 | − | 0.0633147i | ||||
\(289\) | −2.87940 | + | 16.7544i | −0.169377 | + | 0.985551i | ||||
\(290\) | 0.808461 | − | 3.54210i | 0.0474745 | − | 0.207999i | ||||
\(291\) | 1.12075 | − | 14.9554i | 0.0656998 | − | 0.876703i | ||||
\(292\) | −2.71755 | − | 8.81007i | −0.159032 | − | 0.515570i | ||||
\(293\) | 11.0001 | + | 5.29737i | 0.642633 | + | 0.309476i | 0.726670 | − | 0.686987i | \(-0.241067\pi\) |
−0.0840368 | + | 0.996463i | \(0.526781\pi\) | |||||||
\(294\) | 41.7785 | − | 24.1208i | 2.43657 | − | 1.40676i | ||||
\(295\) | 6.80817 | + | 3.93070i | 0.396387 | + | 0.228854i | ||||
\(296\) | 3.01459 | + | 4.42159i | 0.175219 | + | 0.257000i | ||||
\(297\) | −1.28406 | − | 5.62585i | −0.0745089 | − | 0.326445i | ||||
\(298\) | −8.85117 | + | 1.33410i | −0.512734 | + | 0.0772823i | ||||
\(299\) | 1.15224 | + | 0.918877i | 0.0666355 | + | 0.0531401i | ||||
\(300\) | 23.2323i | 1.34132i | ||||||||
\(301\) | 3.93727 | − | 30.5541i | 0.226941 | − | 1.76111i | ||||
\(302\) | 47.1872 | 2.71532 | ||||||||
\(303\) | 4.69923 | + | 3.74751i | 0.269964 | + | 0.215289i | ||||
\(304\) | 11.5360 | − | 1.73877i | 0.661636 | − | 0.0997256i | ||||
\(305\) | 1.40458 | + | 6.15386i | 0.0804260 | + | 0.352369i | ||||
\(306\) | 12.6668 | − | 4.28641i | 0.724114 | − | 0.245037i | ||||
\(307\) | −11.6681 | + | 20.2097i | −0.665933 | + | 1.15343i | 0.313098 | + | 0.949721i | \(0.398633\pi\) |
−0.979031 | + | 0.203709i | \(0.934700\pi\) | |||||||
\(308\) | −9.87713 | − | 17.1077i | −0.562801 | − | 0.974801i | ||||
\(309\) | 1.29572 | − | 2.69058i | 0.0737107 | − | 0.153062i | ||||
\(310\) | 14.1280 | − | 4.35790i | 0.802415 | − | 0.247512i | ||||
\(311\) | 2.67767 | + | 0.200663i | 0.151837 | + | 0.0113786i | 0.150431 | − | 0.988620i | \(-0.451934\pi\) |
0.00140504 | + | 0.999999i | \(0.499553\pi\) | |||||||
\(312\) | −7.41916 | − | 1.69337i | −0.420027 | − | 0.0958684i | ||||
\(313\) | 23.1516 | − | 9.08633i | 1.30861 | − | 0.513590i | 0.394437 | − | 0.918923i | \(-0.370940\pi\) |
0.914169 | + | 0.405333i | \(0.132844\pi\) | |||||||
\(314\) | 4.34839 | + | 58.0252i | 0.245394 | + | 3.27455i | ||||
\(315\) | 4.78986 | + | 0.721955i | 0.269878 | + | 0.0406776i | ||||
\(316\) | 23.8650 | + | 25.7203i | 1.34251 | + | 1.44688i | ||||
\(317\) | 10.6628 | + | 22.1414i | 0.598880 | + | 1.24359i | 0.951450 | + | 0.307802i | \(0.0995935\pi\) |
−0.352570 | + | 0.935785i | \(0.614692\pi\) | |||||||
\(318\) | −11.1436 | + | 16.3447i | −0.624904 | + | 0.916566i | ||||
\(319\) | −0.707325 | + | 1.80223i | −0.0396026 | + | 0.100906i | ||||
\(320\) | 1.61057 | − | 5.22133i | 0.0900334 | − | 0.291881i | ||||
\(321\) | −7.55247 | − | 7.00767i | −0.421538 | − | 0.391130i | ||||
\(322\) | −9.32016 | − | 11.6871i | −0.519392 | − | 0.651297i | ||||
\(323\) | 4.17803 | + | 9.85173i | 0.232472 | + | 0.548165i | ||||
\(324\) | 9.94736 | + | 9.22980i | 0.552631 | + | 0.512767i | ||||
\(325\) | −4.78650 | − | 1.47644i | −0.265507 | − | 0.0818981i | ||||
\(326\) | −39.6901 | − | 15.5772i | −2.19823 | − | 0.862742i | ||||
\(327\) | 1.84367 | + | 1.25699i | 0.101955 | + | 0.0695118i | ||||
\(328\) | 2.74117 | + | 5.69209i | 0.151356 | + | 0.314293i | ||||
\(329\) | 2.94903 | + | 3.17830i | 0.162585 | + | 0.175225i | ||||
\(330\) | −0.385331 | + | 2.55651i | −0.0212118 | + | 0.140731i | ||||
\(331\) | 0.216606 | + | 2.89040i | 0.0119057 | + | 0.158871i | 0.999988 | + | 0.00494280i | \(0.00157335\pi\) |
−0.988082 | + | 0.153928i | \(0.950808\pi\) | |||||||
\(332\) | −14.6068 | − | 37.2176i | −0.801653 | − | 2.04258i | ||||
\(333\) | 1.33682 | + | 0.305119i | 0.0732570 | + | 0.0167204i | ||||
\(334\) | 43.0538 | + | 3.22644i | 2.35580 | + | 0.176543i | ||||
\(335\) | −2.05168 | − | 6.65140i | −0.112096 | − | 0.363405i | ||||
\(336\) | 24.6962 | + | 11.8931i | 1.34729 | + | 0.648821i | ||||
\(337\) | −20.8366 | + | 12.0300i | −1.13504 | + | 0.655317i | −0.945198 | − | 0.326498i | \(-0.894131\pi\) |
−0.189844 | + | 0.981814i | \(0.560798\pi\) | |||||||
\(338\) | −14.4207 | + | 24.9773i | −0.784380 | + | 1.35859i | ||||
\(339\) | 18.5364 | − | 12.6379i | 1.00676 | − | 0.686396i | ||||
\(340\) | −13.1779 | − | 0.629044i | −0.714670 | − | 0.0341147i | ||||
\(341\) | −7.79059 | + | 1.17424i | −0.421884 | + | 0.0635888i | ||||
\(342\) | 5.24828 | − | 6.58113i | 0.283794 | − | 0.355867i | ||||
\(343\) | − | 37.9176i | − | 2.04736i | ||||||
\(344\) | 30.0049 | − | 15.2506i | 1.61776 | − | 0.822259i | ||||
\(345\) | 1.31300i | 0.0706894i | ||||||||
\(346\) | −26.9338 | − | 21.4790i | −1.44797 | − | 1.15472i | ||||
\(347\) | 1.13903 | + | 7.55694i | 0.0611461 | + | 0.405678i | 0.998376 | + | 0.0569660i | \(0.0181427\pi\) |
−0.937230 | + | 0.348712i | \(0.886619\pi\) | |||||||
\(348\) | −2.21533 | − | 9.70599i | −0.118754 | − | 0.520295i | ||||
\(349\) | −7.99966 | + | 5.45407i | −0.428212 | + | 0.291950i | −0.758184 | − | 0.652041i | \(-0.773913\pi\) |
0.329972 | + | 0.943991i | \(0.392961\pi\) | |||||||
\(350\) | 43.9998 | + | 25.4033i | 2.35189 | + | 1.35786i | ||||
\(351\) | −5.54056 | + | 3.19885i | −0.295733 | + | 0.170742i | ||||
\(352\) | 0.366224 | − | 0.760472i | 0.0195198 | − | 0.0405333i | ||||
\(353\) | −30.9991 | + | 9.56195i | −1.64991 | + | 0.508931i | −0.973712 | − | 0.227784i | \(-0.926852\pi\) |
−0.676203 | + | 0.736715i | \(0.736376\pi\) | |||||||
\(354\) | 32.0079 | + | 2.39866i | 1.70120 | + | 0.127487i | ||||
\(355\) | 1.29909 | − | 5.69169i | 0.0689486 | − | 0.302084i | ||||
\(356\) | 8.01220 | + | 20.4147i | 0.424646 | + | 1.08198i | ||||
\(357\) | −4.92851 | + | 24.6550i | −0.260844 | + | 1.30488i | ||||
\(358\) | −5.32025 | − | 0.801899i | −0.281184 | − | 0.0423817i | ||||
\(359\) | −17.6038 | + | 16.3339i | −0.929093 | + | 0.862073i | −0.990705 | − | 0.136028i | \(-0.956566\pi\) |
0.0616118 | + | 0.998100i | \(0.480376\pi\) | |||||||
\(360\) | 2.29626 | + | 4.76822i | 0.121023 | + | 0.251307i | ||||
\(361\) | −10.1330 | − | 6.90854i | −0.533314 | − | 0.363607i | ||||
\(362\) | −35.7333 | − | 14.0243i | −1.87810 | − | 0.737099i | ||||
\(363\) | −3.80245 | + | 12.3273i | −0.199577 | + | 0.647013i | ||||
\(364\) | −14.8966 | + | 16.0547i | −0.780794 | + | 0.841496i | ||||
\(365\) | 1.10418 | + | 1.38460i | 0.0577956 | + | 0.0724735i | ||||
\(366\) | 16.0686 | + | 20.1494i | 0.839919 | + | 1.05323i | ||||
\(367\) | 22.6675 | − | 24.4297i | 1.18323 | − | 1.27522i | 0.229929 | − | 0.973207i | \(-0.426150\pi\) |
0.953303 | − | 0.302014i | \(-0.0976591\pi\) | |||||||
\(368\) | 1.70952 | − | 5.54213i | 0.0891149 | − | 0.288903i | ||||
\(369\) | 1.50688 | + | 0.591408i | 0.0784452 | + | 0.0307875i | ||||
\(370\) | −1.66544 | − | 1.13548i | −0.0865820 | − | 0.0590306i | ||||
\(371\) | 12.5973 | + | 26.1586i | 0.654019 | + | 1.35809i | ||||
\(372\) | 29.6982 | − | 27.5559i | 1.53978 | − | 1.42870i | ||||
\(373\) | 10.7715 | + | 1.62354i | 0.557725 | + | 0.0840635i | 0.421855 | − | 0.906663i | \(-0.361379\pi\) |
0.135870 | + | 0.990727i | \(0.456617\pi\) | |||||||
\(374\) | 10.2721 | + | 2.05338i | 0.531156 | + | 0.106178i | ||||
\(375\) | −3.48926 | − | 8.89049i | −0.180185 | − | 0.459103i | ||||
\(376\) | −1.05409 | + | 4.61826i | −0.0543604 | + | 0.238169i | ||||
\(377\) | 2.14048 | + | 0.160407i | 0.110241 | + | 0.00826139i | ||||
\(378\) | 62.0087 | − | 19.1272i | 3.18938 | − | 0.983795i | ||||
\(379\) | −10.5655 | + | 21.9396i | −0.542715 | + | 1.12696i | 0.431661 | + | 0.902036i | \(0.357928\pi\) |
−0.974376 | + | 0.224924i | \(0.927787\pi\) | |||||||
\(380\) | −7.19196 | + | 4.15228i | −0.368940 | + | 0.213008i | ||||
\(381\) | −10.7325 | − | 6.19644i | −0.549845 | − | 0.317453i | ||||
\(382\) | −2.94126 | + | 2.00532i | −0.150488 | + | 0.102601i | ||||
\(383\) | −0.742694 | − | 3.25396i | −0.0379499 | − | 0.166269i | 0.952402 | − | 0.304845i | \(-0.0986047\pi\) |
−0.990352 | + | 0.138576i | \(0.955748\pi\) | |||||||
\(384\) | −3.64206 | − | 24.1635i | −0.185858 | − | 1.23309i | ||||
\(385\) | 2.96668 | + | 2.36585i | 0.151196 | + | 0.120575i | ||||
\(386\) | − | 10.2590i | − | 0.522168i | ||||||
\(387\) | 2.97791 | − | 8.09374i | 0.151376 | − | 0.411428i | ||||
\(388\) | − | 47.1570i | − | 2.39404i | ||||||
\(389\) | −9.35105 | + | 11.7258i | −0.474117 | + | 0.594524i | −0.960174 | − | 0.279403i | \(-0.909863\pi\) |
0.486057 | + | 0.873927i | \(0.338435\pi\) | |||||||
\(390\) | 2.83436 | − | 0.427210i | 0.143523 | − | 0.0216326i | ||||
\(391\) | 5.31387 | + | 0.253657i | 0.268734 | + | 0.0128280i | ||||
\(392\) | 63.9155 | − | 43.5769i | 3.22822 | − | 2.20096i | ||||
\(393\) | 2.82862 | − | 4.89931i | 0.142685 | − | 0.247138i | ||||
\(394\) | 53.2168 | − | 30.7247i | 2.68102 | − | 1.54789i | ||||
\(395\) | −6.07223 | − | 2.92423i | −0.305527 | − | 0.147134i | ||||
\(396\) | −1.63002 | − | 5.28441i | −0.0819118 | − | 0.265552i | ||||
\(397\) | −33.4783 | − | 2.50885i | −1.68023 | − | 0.125916i | −0.799853 | − | 0.600196i | \(-0.795089\pi\) |
−0.880374 | + | 0.474281i | \(0.842708\pi\) | |||||||
\(398\) | −19.3734 | − | 4.42186i | −0.971102 | − | 0.221648i | ||||
\(399\) | 5.78215 | + | 14.7327i | 0.289469 | + | 0.737556i | ||||
\(400\) | 1.47311 | + | 19.6572i | 0.0736553 | + | 0.982862i | ||||
\(401\) | 3.87964 | − | 25.7398i | 0.193740 | − | 1.28538i | −0.654618 | − | 0.755960i | \(-0.727171\pi\) |
0.848358 | − | 0.529422i | \(-0.177591\pi\) | |||||||
\(402\) | −19.3304 | − | 20.8333i | −0.964115 | − | 1.03907i | ||||
\(403\) | 3.78991 | + | 7.86983i | 0.188789 | + | 0.392024i | ||||
\(404\) | 15.6153 | + | 10.6463i | 0.776891 | + | 0.529675i | ||||
\(405\) | −2.42639 | − | 0.952288i | −0.120568 | − | 0.0473196i | ||||
\(406\) | −20.8045 | − | 6.41734i | −1.03251 | − | 0.318487i | ||||
\(407\) | 0.787390 | + | 0.730591i | 0.0390295 | + | 0.0362141i | ||||
\(408\) | −25.2898 | + | 10.7252i | −1.25203 | + | 0.530975i | ||||
\(409\) | 11.1727 | + | 14.0101i | 0.552453 | + | 0.692755i | 0.977143 | − | 0.212585i | \(-0.0681881\pi\) |
−0.424689 | + | 0.905339i | \(0.639617\pi\) | |||||||
\(410\) | −1.74441 | − | 1.61857i | −0.0861500 | − | 0.0799356i | ||||
\(411\) | −5.22610 | + | 16.9426i | −0.257785 | + | 0.835717i | ||||
\(412\) | 3.43057 | − | 8.74096i | 0.169012 | − | 0.430636i | ||||
\(413\) | 26.5375 | − | 38.9234i | 1.30583 | − | 1.91530i | ||||
\(414\) | −1.81568 | − | 3.77030i | −0.0892358 | − | 0.185300i | ||||
\(415\) | 5.22364 | + | 5.62974i | 0.256418 | + | 0.276353i | ||||
\(416\) | −0.925344 | − | 0.139473i | −0.0453687 | − | 0.00683823i | ||||
\(417\) | −0.567992 | − | 7.57933i | −0.0278147 | − | 0.371161i | ||||
\(418\) | 6.13811 | − | 2.40903i | 0.300225 | − | 0.117829i | ||||
\(419\) | −15.2953 | − | 3.49105i | −0.747223 | − | 0.170549i | −0.168079 | − | 0.985774i | \(-0.553756\pi\) |
−0.579145 | + | 0.815225i | \(0.696613\pi\) | |||||||
\(420\) | −19.4575 | − | 1.45814i | −0.949430 | − | 0.0711500i | ||||
\(421\) | 0.732218 | − | 0.225859i | 0.0356861 | − | 0.0110077i | −0.276861 | − | 0.960910i | \(-0.589294\pi\) |
0.312547 | + | 0.949902i | \(0.398818\pi\) | |||||||
\(422\) | −2.42415 | + | 5.03380i | −0.118006 | + | 0.245041i | ||||
\(423\) | 0.606879 | + | 1.05115i | 0.0295075 | + | 0.0511084i | ||||
\(424\) | −15.8606 | + | 27.4714i | −0.770260 | + | 1.33413i | ||||
\(425\) | −17.1273 | + | 5.79581i | −0.830795 | + | 0.281138i | ||||
\(426\) | −5.30412 | − | 23.2389i | −0.256985 | − | 1.12593i | ||||
\(427\) | 37.4027 | − | 5.63755i | 1.81004 | − | 0.272820i | ||||
\(428\) | −25.3279 | − | 20.1983i | −1.22427 | − | 0.976323i | ||||
\(429\) | −1.52744 | −0.0737456 | ||||||||
\(430\) | −8.42180 | + | 9.47620i | −0.406135 | + | 0.456983i | ||||
\(431\) | 8.51107i | 0.409964i | 0.978766 | + | 0.204982i | \(0.0657135\pi\) | ||||
−0.978766 | + | 0.204982i | \(0.934286\pi\) | |||||||
\(432\) | 19.6843 | + | 15.6977i | 0.947063 | + | 0.755258i | ||||
\(433\) | 21.8863 | − | 3.29883i | 1.05179 | − | 0.158532i | 0.399678 | − | 0.916656i | \(-0.369122\pi\) |
0.652111 | + | 0.758124i | \(0.273884\pi\) | |||||||
\(434\) | −19.7148 | − | 86.3762i | −0.946341 | − | 4.14619i | ||||
\(435\) | 1.07726 | + | 1.58004i | 0.0516505 | + | 0.0757574i | ||||
\(436\) | 6.07631 | + | 3.50816i | 0.291002 | + | 0.168010i | ||||
\(437\) | 2.90010 | − | 1.67437i | 0.138731 | − | 0.0800962i | ||||
\(438\) | 6.51471 | + | 3.13732i | 0.311285 | + | 0.149907i | ||||
\(439\) | 2.87763 | + | 9.32904i | 0.137342 | + | 0.445251i | 0.997949 | − | 0.0640189i | \(-0.0203918\pi\) |
−0.860607 | + | 0.509270i | \(0.829916\pi\) | |||||||
\(440\) | −0.309812 | + | 4.13416i | −0.0147697 | + | 0.197088i | ||||
\(441\) | 4.41060 | − | 19.3241i | 0.210029 | − | 0.920196i | ||||
\(442\) | −1.18141 | − | 11.5535i | −0.0561939 | − | 0.549546i | ||||
\(443\) | 0.312084 | + | 4.16447i | 0.0148275 | + | 0.197860i | 0.999698 | + | 0.0245685i | \(0.00782118\pi\) |
−0.984871 | + | 0.173291i | \(0.944560\pi\) | |||||||
\(444\) | −5.46165 | − | 0.823211i | −0.259198 | − | 0.0390679i | ||||
\(445\) | −2.86529 | − | 3.08805i | −0.135828 | − | 0.146388i | ||||
\(446\) | −27.6863 | + | 13.3330i | −1.31098 | + | 0.631336i | ||||
\(447\) | 2.65405 | − | 3.89278i | 0.125532 | − | 0.184122i | ||||
\(448\) | −30.4799 | − | 11.9625i | −1.44004 | − | 0.565174i | ||||
\(449\) | −3.52938 | + | 11.4420i | −0.166562 | + | 0.539981i | −0.999919 | − | 0.0127550i | \(-0.995940\pi\) |
0.833357 | + | 0.552736i | \(0.186416\pi\) | |||||||
\(450\) | 10.4262 | + | 9.67411i | 0.491496 | + | 0.456042i | ||||
\(451\) | 0.790632 | + | 0.991421i | 0.0372294 | + | 0.0466842i | ||||
\(452\) | 55.1524 | − | 43.9826i | 2.59415 | − | 2.06877i | ||||
\(453\) | −16.8935 | + | 18.2068i | −0.793725 | + | 0.855432i | ||||
\(454\) | −18.1386 | + | 58.8038i | −0.851286 | + | 2.75980i | ||||
\(455\) | 1.53696 | − | 3.91612i | 0.0720539 | − | 0.183590i | ||||
\(456\) | −9.74074 | + | 14.2870i | −0.456152 | + | 0.669052i | ||||
\(457\) | −4.97412 | + | 2.39541i | −0.232679 | + | 0.112052i | −0.546591 | − | 0.837400i | \(-0.684075\pi\) |
0.313912 | + | 0.949452i | \(0.398360\pi\) | |||||||
\(458\) | 12.3455 | − | 11.4549i | 0.576867 | − | 0.535254i | ||||
\(459\) | −9.45263 | + | 21.0709i | −0.441211 | + | 0.983506i | ||||
\(460\) | 0.308526 | + | 4.11699i | 0.0143851 | + | 0.191956i | ||||
\(461\) | 8.92903 | + | 22.7508i | 0.415866 | + | 1.05961i | 0.973330 | + | 0.229409i | \(0.0736793\pi\) |
−0.557464 | + | 0.830201i | \(0.688225\pi\) | |||||||
\(462\) | 15.1044 | + | 3.44748i | 0.702720 | + | 0.160391i | ||||
\(463\) | 0.443097 | − | 5.91272i | 0.0205925 | − | 0.274787i | −0.977397 | − | 0.211411i | \(-0.932194\pi\) |
0.997990 | − | 0.0633762i | \(-0.0201868\pi\) | |||||||
\(464\) | −2.48986 | − | 8.07191i | −0.115589 | − | 0.374729i | ||||
\(465\) | −3.37649 | + | 7.01134i | −0.156581 | + | 0.325143i | ||||
\(466\) | −35.0656 | + | 20.2451i | −1.62438 | + | 0.937838i | ||||
\(467\) | −0.0970885 | + | 0.168162i | −0.00449272 | + | 0.00778162i | −0.868263 | − | 0.496104i | \(-0.834763\pi\) |
0.863770 | + | 0.503886i | \(0.168097\pi\) | |||||||
\(468\) | −5.06577 | + | 3.45379i | −0.234165 | + | 0.159651i | ||||
\(469\) | −40.6656 | + | 9.28166i | −1.87776 | + | 0.428587i | ||||
\(470\) | −0.265929 | − | 1.76432i | −0.0122664 | − | 0.0813822i | ||||
\(471\) | −23.9454 | − | 19.0958i | −1.10334 | − | 0.879887i | ||||
\(472\) | 51.4697 | 2.36908 | ||||||||
\(473\) | 5.19033 | − | 4.32443i | 0.238652 | − | 0.198838i | ||||
\(474\) | −27.5177 | −1.26393 | ||||||||
\(475\) | −7.09639 | + | 8.89860i | −0.325605 | + | 0.408296i | ||||
\(476\) | −9.66027 | + | 78.4654i | −0.442778 | + | 3.59646i | ||||
\(477\) | 1.80862 | + | 7.92408i | 0.0828110 | + | 0.362819i | ||||
\(478\) | 53.2589 | − | 36.3113i | 2.43601 | − | 1.66084i | ||||
\(479\) | −21.9509 | − | 12.6734i | −1.00296 | − | 0.579061i | −0.0938395 | − | 0.995587i | \(-0.529914\pi\) |
−0.909124 | + | 0.416526i | \(0.863247\pi\) | |||||||
\(480\) | −0.416857 | − | 0.722017i | −0.0190268 | − | 0.0329554i | ||||
\(481\) | 0.516697 | − | 1.07293i | 0.0235594 | − | 0.0489215i | ||||
\(482\) | −17.7875 | − | 57.6656i | −0.810198 | − | 2.62660i | ||||
\(483\) | 7.84609 | + | 0.587983i | 0.357010 | + | 0.0267542i | ||||
\(484\) | −9.02620 | + | 39.5464i | −0.410282 | + | 1.79756i | ||||
\(485\) | 3.30934 | + | 8.43207i | 0.150270 | + | 0.382880i | ||||
\(486\) | 30.7094 | − | 2.30135i | 1.39301 | − | 0.104391i | ||||
\(487\) | 0.547795 | − | 3.63438i | 0.0248229 | − | 0.164689i | −0.972985 | − | 0.230869i | \(-0.925843\pi\) |
0.997808 | + | 0.0661799i | \(0.0210811\pi\) | |||||||
\(488\) | 28.1090 | + | 30.2943i | 1.27244 | + | 1.37136i | ||||
\(489\) | 20.2198 | − | 9.73733i | 0.914370 | − | 0.440337i | ||||
\(490\) | −16.4137 | + | 24.0745i | −0.741495 | + | 1.08757i | ||||
\(491\) | −1.80187 | + | 4.59109i | −0.0813172 | + | 0.207193i | −0.965750 | − | 0.259475i | \(-0.916450\pi\) |
0.884433 | + | 0.466668i | \(0.154546\pi\) | |||||||
\(492\) | −6.23097 | − | 1.92200i | −0.280914 | − | 0.0866504i | ||||
\(493\) | 6.60276 | − | 4.05455i | 0.297373 | − | 0.182608i | ||||
\(494\) | −4.55806 | − | 5.71563i | −0.205077 | − | 0.257158i | ||||
\(495\) | 0.662306 | + | 0.830506i | 0.0297684 | + | 0.0373285i | ||||
\(496\) | 23.3808 | − | 25.1985i | 1.04983 | − | 1.13145i | ||||
\(497\) | −33.4301 | − | 10.3118i | −1.49955 | − | 0.462549i | ||||
\(498\) | 29.1889 | + | 11.4558i | 1.30799 | + | 0.513347i | ||||
\(499\) | 18.1551 | − | 26.6286i | 0.812733 | − | 1.19206i | −0.165838 | − | 0.986153i | \(-0.553033\pi\) |
0.978571 | − | 0.205908i | \(-0.0660146\pi\) | |||||||
\(500\) | −13.0299 | − | 27.0568i | −0.582713 | − | 1.21002i | ||||
\(501\) | −16.6586 | + | 15.4569i | −0.744250 | + | 0.690563i | ||||
\(502\) | −26.6016 | − | 4.00954i | −1.18729 | − | 0.178955i | ||||
\(503\) | 12.5598 | − | 0.941224i | 0.560012 | − | 0.0419671i | 0.208282 | − | 0.978069i | \(-0.433213\pi\) |
0.351730 | + | 0.936102i | \(0.385594\pi\) | |||||||
\(504\) | 29.5218 | − | 11.5865i | 1.31501 | − | 0.516102i | ||||
\(505\) | −3.53927 | − | 0.807816i | −0.157496 | − | 0.0359474i | ||||
\(506\) | 0.244973 | − | 3.26894i | 0.0108904 | − | 0.145322i | ||||
\(507\) | −4.47458 | − | 14.5062i | −0.198723 | − | 0.644244i | ||||
\(508\) | −35.1086 | − | 16.9074i | −1.55769 | − | 0.750145i | ||||
\(509\) | −1.17865 | − | 2.04148i | −0.0522426 | − | 0.0904869i | 0.838721 | − | 0.544561i | \(-0.183304\pi\) |
−0.890964 | + | 0.454074i | \(0.849970\pi\) | |||||||
\(510\) | 7.39131 | − | 7.24061i | 0.327293 | − | 0.320620i | ||||
\(511\) | 8.76846 | − | 5.97824i | 0.387894 | − | 0.264462i | ||||
\(512\) | −9.44862 | − | 41.3971i | −0.417574 | − | 1.82951i | ||||
\(513\) | 2.16664 | + | 14.3747i | 0.0956596 | + | 0.634660i | ||||
\(514\) | −21.5508 | + | 27.0238i | −0.950565 | + | 1.19197i | ||||
\(515\) | 1.80370i | 0.0794806i | ||||||||
\(516\) | −9.52544 | + | 33.4078i | −0.419334 | + | 1.47070i | ||||
\(517\) | 0.950799i | 0.0418161i | ||||||||
\(518\) | −7.53109 | + | 9.44369i | −0.330897 | + | 0.414932i | ||||
\(519\) | 17.9301 | − | 2.70252i | 0.787042 | − | 0.118628i | ||||
\(520\) | 4.48108 | − | 1.02278i | 0.196509 | − | 0.0448518i | ||||
\(521\) | 3.78599 | + | 5.55303i | 0.165867 | + | 0.243283i | 0.900169 | − | 0.435540i | \(-0.143443\pi\) |
−0.734302 | + | 0.678823i | \(0.762490\pi\) | |||||||
\(522\) | −5.27833 | − | 3.04745i | −0.231026 | − | 0.133383i | ||||
\(523\) | −11.3961 | − | 19.7386i | −0.498315 | − | 0.863107i | 0.501683 | − | 0.865052i | \(-0.332714\pi\) |
−0.999998 | + | 0.00194422i | \(0.999381\pi\) | |||||||
\(524\) | 7.71808 | − | 16.0268i | 0.337166 | − | 0.700133i | ||||
\(525\) | −25.5540 | + | 7.88237i | −1.11527 | + | 0.344015i | ||||
\(526\) | −1.91562 | + | 25.5622i | −0.0835250 | + | 1.11456i | ||||
\(527\) | 27.7235 | + | 15.0196i | 1.20765 | + | 0.654263i | ||||
\(528\) | 2.19608 | + | 5.59552i | 0.0955720 | + | 0.243514i | ||||
\(529\) | 1.59438 | + | 21.2755i | 0.0693209 | + | 0.925024i | ||||
\(530\) | 1.78078 | − | 11.8147i | 0.0773521 | − | 0.513197i | ||||
\(531\) | 9.66746 | − | 8.97009i | 0.419532 | − | 0.389269i | ||||
\(532\) | 21.5921 | + | 44.8366i | 0.936138 | + | 1.94391i | ||||
\(533\) | 0.791968 | − | 1.16160i | 0.0343040 | − | 0.0503147i | ||||
\(534\) | −16.0108 | − | 6.28379i | −0.692857 | − | 0.271926i | ||||
\(535\) | 5.94630 | + | 1.83419i | 0.257081 | + | 0.0792990i | ||||
\(536\) | −33.4068 | − | 30.9970i | −1.44296 | − | 1.33887i | ||||
\(537\) | 2.21411 | − | 1.76569i | 0.0955458 | − | 0.0761952i | ||||
\(538\) | −5.49481 | + | 4.38196i | −0.236898 | + | 0.188920i | ||||
\(539\) | 10.5609 | − | 11.3820i | 0.454892 | − | 0.490257i | ||||
\(540\) | −17.1259 | − | 5.28265i | −0.736983 | − | 0.227329i | ||||
\(541\) | 35.6309 | + | 13.9841i | 1.53189 | + | 0.601223i | 0.973567 | − | 0.228401i | \(-0.0733496\pi\) |
0.558323 | + | 0.829623i | \(0.311445\pi\) | |||||||
\(542\) | −53.7530 | − | 36.6481i | −2.30889 | − | 1.57417i | ||||
\(543\) | 18.2040 | − | 8.76659i | 0.781209 | − | 0.376210i | ||||
\(544\) | −3.00263 | + | 1.54759i | −0.128737 | + | 0.0663522i | ||||
\(545\) | −1.33269 | − | 0.200870i | −0.0570860 | − | 0.00860433i | ||||
\(546\) | −1.28361 | − | 17.1286i | −0.0549335 | − | 0.733037i | ||||
\(547\) | −8.02053 | + | 3.14783i | −0.342933 | + | 0.134591i | −0.530556 | − | 0.847650i | \(-0.678017\pi\) |
0.187623 | + | 0.982241i | \(0.439922\pi\) | |||||||
\(548\) | −12.4056 | + | 54.3526i | −0.529942 | + | 2.32183i | ||||
\(549\) | 10.5593 | + | 0.791314i | 0.450662 | + | 0.0337724i | ||||
\(550\) | 3.28405 | + | 10.6466i | 0.140032 | + | 0.453974i | ||||
\(551\) | 2.11620 | − | 4.39433i | 0.0901530 | − | 0.187205i | ||||
\(552\) | 4.29819 | + | 7.44468i | 0.182943 | + | 0.316867i | ||||
\(553\) | −20.1936 | + | 34.9764i | −0.858720 | + | 1.48735i | ||||
\(554\) | −25.1669 | − | 36.9130i | −1.06924 | − | 1.56828i | ||||
\(555\) | 1.03436 | − | 0.236086i | 0.0439061 | − | 0.0100213i | ||||
\(556\) | −3.56195 | − | 23.6320i | −0.151060 | − | 1.00222i | ||||
\(557\) | −21.1745 | + | 26.5520i | −0.897192 | + | 1.12504i | 0.0943865 | + | 0.995536i | \(0.469911\pi\) |
−0.991578 | + | 0.129507i | \(0.958660\pi\) | |||||||
\(558\) | − | 24.8024i | − | 1.04997i | ||||||
\(559\) | −6.27757 | − | 4.08560i | −0.265513 | − | 0.172803i | ||||
\(560\) | −16.5558 | −0.699609 | ||||||||
\(561\) | −4.46978 | + | 3.22827i | −0.188714 | + | 0.136298i | ||||
\(562\) | 36.4619 | − | 5.49574i | 1.53805 | − | 0.231824i | ||||
\(563\) | −3.86566 | − | 16.9366i | −0.162918 | − | 0.713792i | −0.988713 | − | 0.149821i | \(-0.952130\pi\) |
0.825795 | − | 0.563971i | \(-0.190727\pi\) | |||||||
\(564\) | −2.75417 | − | 4.03962i | −0.115971 | − | 0.170099i | ||||
\(565\) | −6.77514 | + | 11.7349i | −0.285032 | + | 0.493690i | ||||
\(566\) | −67.2704 | + | 38.8386i | −2.82759 | + | 1.63251i | ||||
\(567\) | −6.77718 | + | 14.0730i | −0.284615 | + | 0.591009i | ||||
\(568\) | −11.2663 | − | 36.5245i | −0.472724 | − | 1.53253i | ||||
\(569\) | 2.00683 | − | 26.7794i | 0.0841309 | − | 1.12265i | −0.782150 | − | 0.623091i | \(-0.785877\pi\) |
0.866280 | − | 0.499558i | \(-0.166504\pi\) | |||||||
\(570\) | 1.44930 | − | 6.34979i | 0.0607044 | − | 0.265963i | ||||
\(571\) | −3.49113 | + | 1.37017i | −0.146099 | + | 0.0573397i | −0.437264 | − | 0.899333i | \(-0.644052\pi\) |
0.291165 | + | 0.956673i | \(0.405957\pi\) | |||||||
\(572\) | −4.78939 | + | 0.358915i | −0.200255 | + | 0.0150070i | ||||
\(573\) | 0.279262 | − | 1.85278i | 0.0116664 | − | 0.0774012i | ||||
\(574\) | −10.4533 | + | 9.69924i | −0.436312 | + | 0.404838i | ||||
\(575\) | 2.45505 | + | 5.09797i | 0.102383 | + | 0.212600i | ||||
\(576\) | −7.57357 | − | 5.16357i | −0.315565 | − | 0.215149i | ||||
\(577\) | 14.6470 | − | 37.3200i | 0.609763 | − | 1.55365i | −0.208020 | − | 0.978125i | \(-0.566702\pi\) |
0.817783 | − | 0.575527i | \(-0.195203\pi\) | |||||||
\(578\) | −27.8758 | − | 31.3124i | −1.15948 | − | 1.30242i | ||||
\(579\) | 3.95835 | + | 3.67281i | 0.164503 | + | 0.152637i | ||||
\(580\) | 3.74908 | + | 4.70120i | 0.155672 | + | 0.195207i | ||||
\(581\) | 35.9810 | − | 28.6939i | 1.49274 | − | 1.19042i | ||||
\(582\) | 27.1114 | + | 25.1557i | 1.12380 | + | 1.04274i | ||||
\(583\) | −1.87670 | + | 6.08410i | −0.0777248 | + | 0.251978i | ||||
\(584\) | 10.7933 | + | 4.23606i | 0.446630 | + | 0.175289i | ||||
\(585\) | 0.663426 | − | 0.973066i | 0.0274293 | − | 0.0402313i | ||||
\(586\) | −27.1268 | + | 13.0636i | −1.12060 | + | 0.539651i | ||||
\(587\) | 21.7855 | − | 20.2140i | 0.899185 | − | 0.834321i | −0.0876338 | − | 0.996153i | \(-0.527931\pi\) |
0.986818 | + | 0.161831i | \(0.0517401\pi\) | |||||||
\(588\) | −11.8998 | + | 78.9500i | −0.490739 | + | 3.25584i | ||||
\(589\) | 19.7922 | − | 1.48322i | 0.815523 | − | 0.0611150i | ||||
\(590\) | −18.0465 | + | 7.08272i | −0.742962 | + | 0.291591i | ||||
\(591\) | −7.19722 | + | 31.5331i | −0.296054 | + | 1.29710i | ||||
\(592\) | −4.67338 | − | 0.350222i | −0.192075 | − | 0.0143940i | ||||
\(593\) | 0.183714 | − | 0.0566683i | 0.00754424 | − | 0.00232709i | −0.290981 | − | 0.956729i | \(-0.593982\pi\) |
0.298525 | + | 0.954402i | \(0.403505\pi\) | |||||||
\(594\) | 12.8212 | + | 6.17435i | 0.526059 | + | 0.253336i | ||||
\(595\) | −3.77914 | − | 14.7082i | −0.154930 | − | 0.602977i | ||||
\(596\) | 7.40723 | − | 12.8297i | 0.303412 | − | 0.525525i | ||||
\(597\) | 8.64201 | − | 5.89203i | 0.353694 | − | 0.241145i | ||||
\(598\) | −3.54326 | + | 0.808725i | −0.144894 | + | 0.0330712i | ||||
\(599\) | −28.2928 | + | 4.26445i | −1.15601 | + | 0.174241i | −0.698934 | − | 0.715186i | \(-0.746342\pi\) |
−0.457077 | + | 0.889427i | \(0.651104\pi\) | |||||||
\(600\) | −22.8431 | − | 18.2167i | −0.932564 | − | 0.743695i | ||||
\(601\) | − | 24.6502i | − | 1.00550i | −0.864431 | − | 0.502751i | \(-0.832321\pi\) | ||
0.864431 | − | 0.502751i | \(-0.167679\pi\) | |||||||
\(602\) | 52.8556 | + | 54.5699i | 2.15423 | + | 2.22410i | ||||
\(603\) | −11.6769 | −0.475520 | ||||||||
\(604\) | −48.6924 | + | 61.0583i | −1.98127 | + | 2.48443i | ||||
\(605\) | −1.16129 | − | 7.70465i | −0.0472131 | − | 0.313239i | ||||
\(606\) | −14.4507 | + | 3.29827i | −0.587018 | + | 0.133983i | ||||
\(607\) | −3.25379 | − | 4.77243i | −0.132067 | − | 0.193707i | 0.754509 | − | 0.656290i | \(-0.227875\pi\) |
−0.886576 | + | 0.462583i | \(0.846923\pi\) | |||||||
\(608\) | −1.06318 | + | 1.84148i | −0.0431175 | + | 0.0746817i | ||||
\(609\) | 9.92430 | − | 5.72980i | 0.402153 | − | 0.232183i | ||||
\(610\) | −14.0245 | − | 6.75383i | −0.567835 | − | 0.273455i | ||||
\(611\) | 1.00730 | − | 0.310712i | 0.0407511 | − | 0.0125700i | ||||
\(612\) | −7.52443 | + | 20.8135i | −0.304157 | + | 0.841335i | ||||
\(613\) | −0.984262 | + | 4.31233i | −0.0397540 | + | 0.174173i | −0.990908 | − | 0.134545i | \(-0.957043\pi\) |
0.951154 | + | 0.308718i | \(0.0999000\pi\) | |||||||
\(614\) | −21.0247 | − | 53.5701i | −0.848488 | − | 2.16191i | ||||
\(615\) | 1.24903 | − | 0.0936017i | 0.0503657 | − | 0.00377439i | ||||
\(616\) | 24.5658 | + | 3.70270i | 0.989784 | + | 0.149186i | ||||
\(617\) | 23.3953 | + | 25.2142i | 0.941860 | + | 1.01508i | 0.999859 | + | 0.0167670i | \(0.00533735\pi\) |
−0.0579995 | + | 0.998317i | \(0.518472\pi\) | |||||||
\(618\) | 3.19530 | + | 6.63511i | 0.128534 | + | 0.266903i | ||||
\(619\) | 26.4906 | − | 38.8546i | 1.06475 | − | 1.56170i | 0.262289 | − | 0.964989i | \(-0.415523\pi\) |
0.802459 | − | 0.596708i | \(-0.203525\pi\) | |||||||
\(620\) | −8.93967 | + | 22.7779i | −0.359026 | + | 0.914783i | ||||
\(621\) | 6.90590 | + | 2.13019i | 0.277124 | + | 0.0854815i | ||||
\(622\) | −4.50395 | + | 4.85410i | −0.180592 | + | 0.194632i | ||||
\(623\) | −19.7364 | + | 15.7393i | −0.790724 | + | 0.630581i | ||||
\(624\) | 5.21039 | − | 4.15515i | 0.208582 | − | 0.166339i | ||||
\(625\) | −11.8449 | − | 10.9905i | −0.473797 | − | 0.439619i | ||||
\(626\) | −18.0781 | + | 58.6079i | −0.722547 | + | 2.34244i | ||||
\(627\) | −1.26800 | + | 3.23080i | −0.0506389 | + | 0.129026i | ||||
\(628\) | −79.5693 | − | 54.2494i | −3.17516 | − | 2.16479i | ||||
\(629\) | −0.755642 | − | 4.23179i | −0.0301294 | − | 0.168733i | ||||
\(630\) | −8.75664 | + | 8.12497i | −0.348873 | + | 0.323707i | ||||
\(631\) | 39.4956 | + | 5.95301i | 1.57230 | + | 0.236986i | 0.876553 | − | 0.481305i | \(-0.159837\pi\) |
0.695743 | + | 0.718291i | \(0.255075\pi\) | |||||||
\(632\) | −44.0022 | + | 3.29751i | −1.75031 | + | 0.131168i | ||||
\(633\) | −1.07438 | − | 2.73749i | −0.0427030 | − | 0.108805i | ||||
\(634\) | −59.0841 | − | 13.4856i | −2.34653 | − | 0.535580i | ||||
\(635\) | 7.46422 | + | 0.559366i | 0.296208 | + | 0.0221978i | ||||
\(636\) | −9.65030 | − | 31.2855i | −0.382659 | − | 1.24055i | ||||
\(637\) | −15.5096 | − | 7.46903i | −0.614513 | − | 0.295934i | ||||
\(638\) | −2.38722 | − | 4.13479i | −0.0945109 | − | 0.163698i | ||||
\(639\) | −8.48159 | − | 4.89685i | −0.335527 | − | 0.193716i | ||||
\(640\) | 8.31421 | + | 12.1947i | 0.328648 | + | 0.482038i | ||||
\(641\) | −35.7413 | + | 8.15772i | −1.41170 | + | 0.322211i | −0.859343 | − | 0.511399i | \(-0.829127\pi\) |
−0.552354 | + | 0.833610i | \(0.686270\pi\) | |||||||
\(642\) | 25.1234 | − | 3.78674i | 0.991541 | − | 0.149451i | ||||
\(643\) | −9.43690 | − | 7.52568i | −0.372155 | − | 0.296784i | 0.419496 | − | 0.907757i | \(-0.362207\pi\) |
−0.791651 | + | 0.610973i | \(0.790778\pi\) | |||||||
\(644\) | 24.7401 | 0.974896 | ||||||||
\(645\) | −0.641236 | − | 6.64206i | −0.0252486 | − | 0.261531i | ||||
\(646\) | −25.4184 | − | 7.09221i | −1.00007 | − | 0.279039i | ||||
\(647\) | 20.5208 | − | 25.7322i | 0.806755 | − | 1.01164i | −0.192783 | − | 0.981241i | \(-0.561751\pi\) |
0.999538 | − | 0.0303973i | \(-0.00967725\pi\) | |||||||
\(648\) | −16.8750 | + | 2.54349i | −0.662912 | + | 0.0999179i | ||||
\(649\) | 10.0718 | − | 2.29882i | 0.395352 | − | 0.0902366i | ||||
\(650\) | 10.2061 | − | 6.95843i | 0.400318 | − | 0.272932i | ||||
\(651\) | 40.3857 | + | 23.3167i | 1.58284 | + | 0.913853i | ||||
\(652\) | 61.1124 | − | 35.2832i | 2.39334 | − | 1.38180i | ||||
\(653\) | −3.51795 | + | 7.30510i | −0.137668 | + | 0.285871i | −0.958393 | − | 0.285454i | \(-0.907856\pi\) |
0.820725 | + | 0.571324i | \(0.193570\pi\) | |||||||
\(654\) | −5.25827 | + | 1.62196i | −0.205615 | + | 0.0634237i | ||||
\(655\) | −0.255346 | + | 3.40735i | −0.00997718 | + | 0.133136i | ||||
\(656\) | −5.39398 | − | 1.23114i | −0.210600 | − | 0.0480680i | ||||
\(657\) | 2.76555 | − | 1.08540i | 0.107894 | − | 0.0423454i | ||||
\(658\) | −10.6622 | + | 0.799020i | −0.415655 | + | 0.0311490i | ||||
\(659\) | 16.8742 | + | 2.54337i | 0.657325 | + | 0.0990758i | 0.469231 | − | 0.883075i | \(-0.344531\pi\) |
0.188094 | + | 0.982151i | \(0.439769\pi\) | |||||||
\(660\) | −2.91039 | − | 3.13666i | −0.113287 | − | 0.122094i | ||||
\(661\) | 28.9340 | − | 13.9339i | 1.12540 | − | 0.541966i | 0.223846 | − | 0.974625i | \(-0.428139\pi\) |
0.901558 | + | 0.432659i | \(0.142424\pi\) | |||||||
\(662\) | −5.90584 | − | 4.02653i | −0.229537 | − | 0.156496i | ||||
\(663\) | 4.88080 | + | 3.68044i | 0.189555 | + | 0.142936i | ||||
\(664\) | 48.0473 | + | 14.8206i | 1.86460 | + | 0.575152i | ||||
\(665\) | −7.00735 | − | 6.50187i | −0.271733 | − | 0.252132i | ||||
\(666\) | −2.64371 | + | 2.10829i | −0.102442 | + | 0.0816945i | ||||
\(667\) | −1.51179 | − | 1.89572i | −0.0585366 | − | 0.0734026i | ||||
\(668\) | −48.6020 | + | 52.3805i | −1.88047 | + | 2.02666i | ||||
\(669\) | 4.76751 | − | 15.4559i | 0.184323 | − | 0.597559i | ||||
\(670\) | 15.9787 | + | 6.27118i | 0.617312 | + | 0.242277i | ||||
\(671\) | 6.85354 | + | 4.67266i | 0.264578 | + | 0.180386i | ||||
\(672\) | −4.50124 | + | 2.16768i | −0.173639 | + | 0.0836202i | ||||
\(673\) | −21.7820 | − | 23.4754i | −0.839635 | − | 0.904911i | 0.156940 | − | 0.987608i | \(-0.449837\pi\) |
−0.996575 | + | 0.0826972i | \(0.973647\pi\) | |||||||
\(674\) | 8.84316 | − | 58.6705i | 0.340626 | − | 2.25990i | ||||
\(675\) | −24.4944 | + | 1.83560i | −0.942789 | + | 0.0706522i | ||||
\(676\) | −17.4390 | − | 44.4338i | −0.670729 | − | 1.70899i | ||||
\(677\) | 34.0997 | + | 7.78304i | 1.31056 | + | 0.299127i | 0.820041 | − | 0.572304i | \(-0.193950\pi\) |
0.490518 | + | 0.871431i | \(0.336808\pi\) | |||||||
\(678\) | −4.13444 | + | 55.1703i | −0.158782 | + | 2.11880i | ||||
\(679\) | 51.8696 | − | 15.9996i | 1.99057 | − | 0.614010i | ||||
\(680\) | 10.9514 | − | 12.4638i | 0.419968 | − | 0.477966i | ||||
\(681\) | −16.1952 | − | 28.0510i | −0.620603 | − | 1.07492i | ||||
\(682\) | 9.71449 | − | 16.8260i | 0.371987 | − | 0.644300i | ||||
\(683\) | −11.9322 | − | 17.5014i | −0.456574 | − | 0.669671i | 0.527064 | − | 0.849825i | \(-0.323293\pi\) |
−0.983638 | + | 0.180154i | \(0.942340\pi\) | |||||||
\(684\) | 3.10003 | + | 13.5821i | 0.118533 | + | 0.519325i | ||||
\(685\) | −1.59608 | − | 10.5893i | −0.0609830 | − | 0.404596i | ||||
\(686\) | 73.1065 | + | 58.3005i | 2.79122 | + | 2.22592i | ||||
\(687\) | 8.86440i | 0.338198i | ||||||||
\(688\) | −5.94131 | + | 28.8709i | −0.226510 | + | 1.10069i | ||||
\(689\) | 7.05895 | 0.268925 | ||||||||
\(690\) | −2.53151 | − | 2.01881i | −0.0963728 | − | 0.0768547i | ||||
\(691\) | −3.47918 | − | 23.0828i | −0.132354 | − | 0.878112i | −0.952188 | − | 0.305512i | \(-0.901173\pi\) |
0.819834 | − | 0.572601i | \(-0.194066\pi\) | |||||||
\(692\) | 55.5858 | − | 12.6871i | 2.11306 | − | 0.482291i | ||||
\(693\) | 5.25945 | − | 3.58583i | 0.199790 | − | 0.136215i | ||||
\(694\) | −16.3214 | − | 9.42314i | −0.619550 | − | 0.357698i | ||||
\(695\) | 2.29533 | + | 3.97563i | 0.0870668 | + | 0.150804i | ||||
\(696\) | 11.2804 | + | 5.43236i | 0.427583 | + | 0.205913i | ||||
\(697\) | −0.137519 | − | 5.07306i | −0.00520892 | − | 0.192156i | ||||
\(698\) | 1.78428 | − | 23.8096i | 0.0675360 | − | 0.901205i | ||||
\(699\) | 4.74239 | − | 20.7778i | 0.179374 | − | 0.785887i | ||||
\(700\) | −78.2741 | + | 30.7203i | −2.95848 | + | 1.16112i | ||||
\(701\) | 3.42890 | + | 45.7554i | 0.129508 | + | 1.72816i | 0.562531 | + | 0.826776i | \(0.309828\pi\) |
−0.433023 | + | 0.901383i | \(0.642553\pi\) | |||||||
\(702\) | 2.35144 | − | 15.6008i | 0.0887495 | − | 0.588814i | ||||
\(703\) | −1.84050 | − | 1.98359i | −0.0694159 | − | 0.0748125i | ||||
\(704\) | −3.11548 | − | 6.46936i | −0.117419 | − | 0.243823i | ||||
\(705\) | 0.775957 | + | 0.529038i | 0.0292242 | + | 0.0199247i | ||||
\(706\) | 29.2271 | − | 74.4694i | 1.09998 | − | 2.80269i | ||||
\(707\) | −6.41223 | + | 20.7879i | −0.241157 | + | 0.781810i | ||||
\(708\) | −36.1327 | + | 38.9417i | −1.35795 | + | 1.46352i | ||||
\(709\) | −10.9770 | + | 8.75387i | −0.412250 | + | 0.328759i | −0.807556 | − | 0.589791i | \(-0.799210\pi\) |
0.395306 | + | 0.918550i | \(0.370639\pi\) | |||||||
\(710\) | 8.97636 | + | 11.2560i | 0.336877 | + | 0.422430i | ||||
\(711\) | −7.69016 | + | 8.28803i | −0.288404 | + | 0.310825i | ||||
\(712\) | −26.3551 | − | 8.12948i | −0.987700 | − | 0.304665i | ||||
\(713\) | 3.60485 | − | 9.18501i | 0.135003 | − | 0.343981i | ||||
\(714\) | −39.9579 | − | 47.4108i | −1.49538 | − | 1.77430i | ||||
\(715\) | 0.831195 | − | 0.400283i | 0.0310849 | − | 0.0149697i | ||||
\(716\) | 6.52758 | − | 6.05671i | 0.243947 | − | 0.226350i | ||||
\(717\) | −5.05676 | + | 33.5494i | −0.188848 | + | 1.25292i | ||||
\(718\) | −4.42557 | − | 59.0551i | −0.165161 | − | 2.20392i | ||||
\(719\) | −5.47190 | + | 2.14756i | −0.204068 | + | 0.0800906i | −0.465173 | − | 0.885220i | \(-0.654008\pi\) |
0.261106 | + | 0.965310i | \(0.415913\pi\) | |||||||
\(720\) | −4.51850 | − | 1.03132i | −0.168394 | − | 0.0384349i | ||||
\(721\) | 10.7784 | + | 0.807730i | 0.401409 | + | 0.0300814i | ||||
\(722\) | 28.8999 | − | 8.91445i | 1.07554 | − | 0.331761i | ||||
\(723\) | 28.6179 | + | 13.7817i | 1.06431 | + | 0.512546i | ||||
\(724\) | 55.0199 | − | 31.7657i | 2.04480 | − | 1.18056i | ||||
\(725\) | 7.13703 | + | 4.12057i | 0.265063 | + | 0.153034i | ||||
\(726\) | −17.9209 | − | 26.2851i | −0.665106 | − | 0.975532i | ||||
\(727\) | 2.46918 | + | 10.8182i | 0.0915769 | + | 0.401224i | 0.999853 | − | 0.0171468i | \(-0.00545826\pi\) |
−0.908276 | + | 0.418371i | \(0.862601\pi\) | |||||||
\(728\) | −4.10512 | − | 27.2357i | −0.152146 | − | 1.00942i | ||||
\(729\) | −16.3252 | + | 20.4712i | −0.604638 | + | 0.758192i | ||||
\(730\) | −4.36731 | −0.161641 | ||||||||
\(731\) | −27.0052 | + | 1.31199i | −0.998822 | + | 0.0485256i | ||||
\(732\) | −42.6536 | −1.57652 | ||||||||
\(733\) | −8.25949 | + | 10.3571i | −0.305071 | + | 0.382547i | −0.910609 | − | 0.413270i | \(-0.864387\pi\) |
0.605538 | + | 0.795817i | \(0.292958\pi\) | |||||||
\(734\) | 12.2488 | + | 81.2658i | 0.452113 | + | 2.99958i | ||||
\(735\) | −3.41270 | − | 14.9520i | −0.125879 | − | 0.551513i | ||||
\(736\) | 0.595483 | + | 0.873413i | 0.0219498 | + | 0.0321944i | ||||
\(737\) | −7.92162 | − | 4.57355i | −0.291797 | − | 0.168469i | ||||
\(738\) | −3.45717 | + | 1.99600i | −0.127260 | + | 0.0734738i | ||||
\(739\) | 24.3465 | + | 11.7247i | 0.895602 | + | 0.431299i | 0.824299 | − | 0.566155i | \(-0.191570\pi\) |
0.0713037 | + | 0.997455i | \(0.477284\pi\) | |||||||
\(740\) | 3.18782 | − | 0.983313i | 0.117187 | − | 0.0361473i | ||||
\(741\) | 3.83717 | + | 0.287556i | 0.140962 | + | 0.0105636i | ||||
\(742\) | −69.8037 | − | 15.9322i | −2.56257 | − | 0.584891i | ||||
\(743\) | −15.4083 | + | 6.04729i | −0.565274 | + | 0.221854i | −0.630731 | − | 0.776002i | \(-0.717245\pi\) |
0.0654568 | + | 0.997855i | \(0.479150\pi\) | |||||||
\(744\) | 3.80749 | + | 50.8074i | 0.139589 | + | 1.86269i | ||||
\(745\) | −0.424123 | + | 2.81387i | −0.0155387 | + | 0.103092i | ||||
\(746\) | −19.6920 | + | 18.2715i | −0.720974 | + | 0.668966i | ||||
\(747\) | 11.6076 | − | 5.58991i | 0.424699 | − | 0.204524i | ||||
\(748\) | −13.2567 | + | 11.1728i | −0.484713 | + | 0.408517i | ||||
\(749\) | 13.6234 | − | 34.7120i | 0.497790 | − | 1.26835i | ||||
\(750\) | 22.5061 | + | 6.94221i | 0.821807 | + | 0.253494i | ||||
\(751\) | −12.5702 | + | 13.5474i | −0.458693 | + | 0.494353i | −0.919469 | − | 0.393163i | \(-0.871381\pi\) |
0.460776 | + | 0.887517i | \(0.347571\pi\) | |||||||
\(752\) | −2.58649 | − | 3.24335i | −0.0943194 | − | 0.118273i | ||||
\(753\) | 11.0707 | − | 8.82856i | 0.403438 | − | 0.321731i | ||||
\(754\) | −3.60039 | + | 3.88029i | −0.131118 | + | 0.141312i | ||||
\(755\) | 4.42171 | − | 14.3348i | 0.160922 | − | 0.521698i | ||||
\(756\) | −39.2369 | + | 99.9740i | −1.42703 | + | 3.63602i | ||||
\(757\) | 20.1870 | + | 13.7632i | 0.733708 | + | 0.500233i | 0.871602 | − | 0.490214i | \(-0.163081\pi\) |
−0.137895 | + | 0.990447i | \(0.544034\pi\) | |||||||
\(758\) | −26.0552 | − | 54.1041i | −0.946366 | − | 1.96515i | ||||
\(759\) | 1.17359 | + | 1.26483i | 0.0425987 | + | 0.0459105i | ||||
\(760\) | 1.55659 | − | 10.3273i | 0.0564635 | − | 0.374611i | ||||
\(761\) | −1.08161 | − | 14.4331i | −0.0392083 | − | 0.523198i | −0.981883 | − | 0.189486i | \(-0.939318\pi\) |
0.942675 | − | 0.333712i | \(-0.108301\pi\) | |||||||
\(762\) | 28.4488 | − | 11.1653i | 1.03059 | − | 0.404478i | ||||
\(763\) | −1.79714 | + | 7.87379i | −0.0650609 | + | 0.285050i | ||||
\(764\) | 0.440281 | − | 5.87515i | 0.0159288 | − | 0.212555i | ||||
\(765\) | −0.115199 | − | 4.24966i | −0.00416502 | − | 0.153647i | ||||
\(766\) | 7.41567 | + | 3.57120i | 0.267939 | + | 0.129033i | ||||
\(767\) | −5.72679 | − | 9.91910i | −0.206783 | − | 0.358158i | ||||
\(768\) | 36.5186 | + | 21.0840i | 1.31775 | + | 0.760804i | ||||
\(769\) | −20.1173 | + | 13.7158i | −0.725450 | + | 0.494603i | −0.868859 | − | 0.495060i | \(-0.835146\pi\) |
0.143409 | + | 0.989664i | \(0.454194\pi\) | |||||||
\(770\) | −9.12287 | + | 2.08224i | −0.328765 | + | 0.0750386i | ||||
\(771\) | −2.71156 | − | 17.9900i | −0.0976544 | − | 0.647895i | ||||
\(772\) | 13.2747 | + | 10.5862i | 0.477767 | + | 0.381006i | ||||
\(773\) | −2.36997 | −0.0852419 | −0.0426209 | − | 0.999091i | \(-0.513571\pi\) | ||||
−0.0426209 | + | 0.999091i | \(0.513571\pi\) | |||||||
\(774\) | 11.0263 | + | 18.1861i | 0.396332 | + | 0.653685i | ||||
\(775\) | 33.5363i | 1.20466i | ||||||||
\(776\) | 46.3669 | + | 36.9764i | 1.66447 | + | 1.32737i | ||||
\(777\) | −0.947575 | − | 6.28675i | −0.0339941 | − | 0.225536i | ||||
\(778\) | −8.23007 | − | 36.0583i | −0.295062 | − | 1.29275i | ||||
\(779\) | −1.79954 | − | 2.63944i | −0.0644753 | − | 0.0945679i | ||||
\(780\) | −2.37197 | + | 4.10838i | −0.0849303 | + | 0.147104i | ||||
\(781\) | −3.83595 | − | 6.64406i | −0.137261 | − | 0.237743i | ||||
\(782\) | −8.65944 | + | 9.85532i | −0.309661 | + | 0.352425i | ||||
\(783\) | 10.0582 | − | 3.10254i | 0.359451 | − | 0.110876i | ||||
\(784\) | −5.06257 | + | 67.5553i | −0.180806 | + | 2.41269i | ||||
\(785\) | 18.0347 | + | 4.11631i | 0.643686 | + | 0.146917i | ||||
\(786\) | 5.09688 | + | 12.9866i | 0.181800 | + | 0.463218i | ||||
\(787\) | 42.6594 | − | 3.19688i | 1.52064 | − | 0.113957i | 0.711969 | − | 0.702211i | \(-0.247804\pi\) |
0.808676 | + | 0.588254i | \(0.200185\pi\) | |||||||
\(788\) | −15.1578 | + | 100.565i | −0.539973 | + | 3.58249i | ||||
\(789\) | −9.17717 | − | 9.89063i | −0.326716 | − | 0.352116i | ||||
\(790\) | 14.9744 | − | 7.21130i | 0.532766 | − | 0.256567i | ||||
\(791\) | 67.0902 | + | 45.7413i | 2.38545 | + | 1.62637i | ||||
\(792\) | 6.47398 | + | 2.54085i | 0.230043 | + | 0.0902852i | ||||
\(793\) | 2.71068 | − | 8.78781i | 0.0962591 | − | 0.312064i | ||||
\(794\) | 56.3119 | − | 60.6898i | 1.99843 | − | 2.15380i | ||||
\(795\) | 3.92108 | + | 4.91687i | 0.139066 | + | 0.174384i | ||||
\(796\) | 25.7131 | − | 20.5055i | 0.911376 | − | 0.726798i | ||||
\(797\) | −10.2163 | − | 9.47934i | −0.361880 | − | 0.335776i | 0.478187 | − | 0.878258i | \(-0.341294\pi\) |
−0.840067 | + | 0.542482i | \(0.817485\pi\) | |||||||
\(798\) | −37.2955 | − | 11.5041i | −1.32025 | − | 0.407242i | ||||
\(799\) | 2.29099 | − | 3.03819i | 0.0810495 | − | 0.107483i | ||||
\(800\) | −2.96856 | − | 2.02393i | −0.104954 | − | 0.0715567i | ||||
\(801\) | −6.36704 | + | 3.06620i | −0.224968 | + | 0.108339i | ||||
\(802\) | 43.6620 | + | 47.0564i | 1.54176 | + | 1.66162i | ||||
\(803\) | 2.30127 | + | 0.346861i | 0.0812102 | + | 0.0122405i | ||||
\(804\) | 46.9044 | − | 3.51500i | 1.65419 | − | 0.123965i | ||||
\(805\) | −4.42373 | + | 1.73619i | −0.155916 | + | 0.0611926i | ||||
\(806\) | −21.0005 | − | 4.79323i | −0.739712 | − | 0.168834i | ||||
\(807\) | 0.276446 | − | 3.68892i | 0.00973137 | − | 0.129856i | ||||
\(808\) | −22.7121 | + | 7.00575i | −0.799008 | + | 0.246461i | ||||
\(809\) | −19.5399 | + | 40.5749i | −0.686985 | + | 1.42654i | 0.206954 | + | 0.978351i | \(0.433645\pi\) |
−0.893939 | + | 0.448188i | \(0.852069\pi\) | |||||||
\(810\) | 5.56676 | − | 3.21397i | 0.195596 | − | 0.112927i | ||||
\(811\) | 1.83185 | + | 1.05762i | 0.0643251 | + | 0.0371381i | 0.531818 | − | 0.846859i | \(-0.321509\pi\) |
−0.467493 | + | 0.883997i | \(0.654843\pi\) | |||||||
\(812\) | 29.7719 | − | 20.2981i | 1.04479 | − | 0.712325i | ||||
\(813\) | 33.3845 | − | 7.61979i | 1.17085 | − | 0.267238i | ||||
\(814\) | −2.61926 | + | 0.394790i | −0.0918051 | + | 0.0138374i | ||||
\(815\) | −8.45132 | + | 10.5976i | −0.296037 | + | 0.371218i | ||||
\(816\) | 6.46528 | − | 23.1715i | 0.226330 | − | 0.811165i | ||||
\(817\) | −13.8530 | + | 9.88650i | −0.484656 | + | 0.345885i | ||||
\(818\) | −44.1906 | −1.54509 | ||||||||
\(819\) | −5.51767 | − | 4.40019i | −0.192803 | − | 0.153755i | ||||
\(820\) | 3.89441 | − | 0.586988i | 0.135999 | − | 0.0204985i | ||||
\(821\) | −52.9439 | + | 12.0841i | −1.84776 | + | 0.421738i | −0.994940 | − | 0.100473i | \(-0.967964\pi\) |
−0.852816 | + | 0.522212i | \(0.825107\pi\) | |||||||
\(822\) | −24.6305 | − | 36.1263i | −0.859088 | − | 1.26005i | ||||
\(823\) | −7.07588 | − | 4.08526i | −0.246650 | − | 0.142403i | 0.371579 | − | 0.928401i | \(-0.378816\pi\) |
−0.618229 | + | 0.785998i | \(0.712150\pi\) | |||||||
\(824\) | 5.90454 | + | 10.2270i | 0.205695 | + | 0.356273i | ||||
\(825\) | −5.28365 | − | 2.54447i | −0.183953 | − | 0.0885871i | ||||
\(826\) | 34.2428 | + | 111.012i | 1.19146 | + | 3.86261i | ||||
\(827\) | −50.5506 | − | 3.78825i | −1.75782 | − | 0.131730i | −0.843605 | − | 0.536964i | \(-0.819571\pi\) |
−0.914213 | + | 0.405234i | \(0.867190\pi\) | |||||||
\(828\) | 6.75221 | + | 1.54115i | 0.234656 | + | 0.0535586i | ||||
\(829\) | 4.90238 | + | 12.4911i | 0.170267 | + | 0.433833i | 0.990381 | − | 0.138367i | \(-0.0441854\pi\) |
−0.820114 | + | 0.572200i | \(0.806090\pi\) | |||||||
\(830\) | −18.8860 | + | 1.41531i | −0.655542 | + | 0.0491261i | ||||
\(831\) | 23.2526 | + | 3.50477i | 0.806624 | + | 0.121579i | ||||
\(832\) | −5.83571 | + | 5.41475i | −0.202317 | + | 0.187723i | ||||
\(833\) | −61.1719 | + | 10.9231i | −2.11948 | + | 0.378461i | ||||
\(834\) | 15.4865 | + | 10.5585i | 0.536255 | + | 0.365612i | ||||
\(835\) | 5.01453 | − | 12.7768i | 0.173535 | − | 0.442160i | ||||
\(836\) | −3.21671 | + | 10.4283i | −0.111252 | + | 0.360671i | ||||
\(837\) | 31.3992 | + | 29.1342i | 1.08532 | + | 1.00703i | ||||
\(838\) | 30.2482 | − | 24.1222i | 1.04491 | − | 0.833286i | ||||
\(839\) | −39.1108 | + | 31.1898i | −1.35026 | + | 1.07679i | −0.360693 | + | 0.932684i | \(0.617460\pi\) |
−0.989562 | + | 0.144108i | \(0.953969\pi\) | |||||||
\(840\) | 16.6906 | − | 17.9882i | 0.575879 | − | 0.620650i | ||||
\(841\) | 24.3370 | + | 7.50697i | 0.839207 | + | 0.258861i | ||||
\(842\) | −0.690361 | + | 1.75901i | −0.0237914 | + | 0.0606196i | ||||
\(843\) | −10.9332 | + | 16.0361i | −0.376560 | + | 0.552312i | ||||
\(844\) | −4.01205 | − | 8.33111i | −0.138101 | − | 0.286769i | ||||
\(845\) | 6.23646 | + | 6.72131i | 0.214541 | + | 0.231220i | ||||
\(846\) | −2.95976 | − | 0.446112i | −0.101759 | − | 0.0153376i | ||||
\(847\) | −46.5608 | + | 3.48925i | −1.59985 | + | 0.119892i | ||||
\(848\) | −10.1490 | − | 25.8592i | −0.348518 | − | 0.888010i | ||||
\(849\) | 9.09787 | − | 39.8604i | 0.312238 | − | 1.36801i | ||||
\(850\) | 15.1596 | − | 41.9334i | 0.519971 | − | 1.43830i | ||||
\(851\) | −1.28546 | + | 0.396513i | −0.0440651 | + | 0.0135923i | ||||
\(852\) | 35.5434 | + | 17.1168i | 1.21770 | + | 0.586412i | ||||
\(853\) | −28.3774 | + | 16.3837i | −0.971625 | + | 0.560968i | −0.899731 | − | 0.436444i | \(-0.856238\pi\) |
−0.0718938 | + | 0.997412i | \(0.522904\pi\) | |||||||
\(854\) | −46.6394 | + | 80.7818i | −1.59597 | + | 2.76429i | ||||
\(855\) | −1.50746 | − | 2.21104i | −0.0515541 | − | 0.0756160i | ||||
\(856\) | 39.7198 | − | 9.06578i | 1.35759 | − | 0.309862i | ||||
\(857\) | 5.77721 | + | 38.3293i | 0.197346 | + | 1.30930i | 0.839765 | + | 0.542950i | \(0.182693\pi\) |
−0.642419 | + | 0.766353i | \(0.722069\pi\) | |||||||
\(858\) | 2.34853 | − | 2.94496i | 0.0801775 | − | 0.100539i | ||||
\(859\) | −25.5734 | −0.872555 | −0.436277 | − | 0.899812i | \(-0.643703\pi\) | ||||
−0.436277 | + | 0.899812i | \(0.643703\pi\) | |||||||
\(860\) | −3.57137 | − | 20.6759i | −0.121783 | − | 0.705044i | ||||
\(861\) | − | 7.50575i | − | 0.255795i | ||||||
\(862\) | −16.4096 | − | 13.0863i | −0.558915 | − | 0.445719i | ||||
\(863\) | −18.5380 | + | 2.79416i | −0.631042 | + | 0.0951143i | −0.456772 | − | 0.889584i | \(-0.650995\pi\) |
−0.174270 | + | 0.984698i | \(0.555757\pi\) | |||||||
\(864\) | −4.47385 | + | 1.02113i | −0.152204 | + | 0.0347395i | ||||
\(865\) | −9.04886 | + | 6.16941i | −0.307670 | + | 0.209766i | ||||
\(866\) | −27.2912 | + | 47.2697i | −0.927392 | + | 1.60629i | ||||
\(867\) | 22.0615 | + | 0.454477i | 0.749246 | + | 0.0154348i | ||||
\(868\) | 132.111 | + | 63.6213i | 4.48414 | + | 2.15945i | ||||
\(869\) | −8.46324 | + | 2.61056i | −0.287096 | + | 0.0885573i | ||||
\(870\) | −4.70272 | − | 0.352420i | −0.159437 | − | 0.0119482i | ||||
\(871\) | −2.25664 | + | 9.88697i | −0.0764632 | + | 0.335007i | ||||
\(872\) | −8.21387 | + | 3.22371i | −0.278157 | + | 0.109168i | ||||
\(873\) | 15.1532 | − | 1.13558i | 0.512859 | − | 0.0384335i | ||||
\(874\) | −1.23082 | + | 8.16594i | −0.0416330 | + | 0.276217i | ||||
\(875\) | 25.3398 | − | 23.5119i | 0.856642 | − | 0.794848i | ||||
\(876\) | −10.7821 | + | 5.19238i | −0.364293 | + | 0.175434i | ||||
\(877\) | 19.3464 | − | 28.3760i | 0.653282 | − | 0.958189i | −0.346515 | − | 0.938045i | \(-0.612635\pi\) |
0.999797 | − | 0.0201447i | \(-0.00641269\pi\) | |||||||
\(878\) | −22.4112 | − | 8.79576i | −0.756342 | − | 0.296842i | ||||
\(879\) | 4.67117 | − | 15.1436i | 0.157555 | − | 0.510780i | ||||
\(880\) | −2.66141 | − | 2.46943i | −0.0897163 | − | 0.0832445i | ||||
\(881\) | 14.1162 | − | 11.2573i | 0.475586 | − | 0.379267i | −0.356159 | − | 0.934425i | \(-0.615914\pi\) |
0.831745 | + | 0.555158i | \(0.187342\pi\) | |||||||
\(882\) | 30.4760 | + | 38.2157i | 1.02618 | + | 1.28679i | ||||
\(883\) | 14.5783 | + | 13.5267i | 0.490600 | + | 0.455210i | 0.886261 | − | 0.463187i | \(-0.153294\pi\) |
−0.395661 | + | 0.918397i | \(0.629485\pi\) | |||||||
\(884\) | 16.1689 | + | 10.3934i | 0.543819 | + | 0.349567i | ||||
\(885\) | 3.72800 | − | 9.49879i | 0.125315 | − | 0.319298i | ||||
\(886\) | −8.50909 | − | 5.80140i | −0.285868 | − | 0.194902i | ||||
\(887\) | 1.46646 | + | 3.04514i | 0.0492390 | + | 0.102246i | 0.924137 | − | 0.382062i | \(-0.124786\pi\) |
−0.874898 | + | 0.484308i | \(0.839072\pi\) | |||||||
\(888\) | 5.09196 | − | 4.72465i | 0.170875 | − | 0.158549i | ||||
\(889\) | 6.68522 | − | 44.3535i | 0.224215 | − | 1.48757i | ||||
\(890\) | 10.3594 | − | 0.776332i | 0.347249 | − | 0.0260227i | ||||
\(891\) | −3.18856 | + | 1.25142i | −0.106821 | + | 0.0419241i | ||||
\(892\) | 11.3170 | − | 49.5832i | 0.378923 | − | 1.66017i | ||||
\(893\) | 0.178997 | − | 2.38855i | 0.00598991 | − | 0.0799298i | ||||
\(894\) | 3.42466 | + | 11.1025i | 0.114538 | + | 0.371322i | ||||
\(895\) | −0.742143 | + | 1.54108i | −0.0248071 | + | 0.0515125i | ||||
\(896\) | 76.5953 | − | 44.2223i | 2.55887 | − | 1.47736i | ||||
\(897\) | 0.956479 | − | 1.65667i | 0.0319359 | − | 0.0553146i | ||||
\(898\) | −16.6339 | − | 24.3975i | −0.555081 | − | 0.814154i | ||||
\(899\) | −3.19786 | − | 14.0107i | −0.106655 | − | 0.467285i | ||||
\(900\) | −23.2767 | + | 3.50840i | −0.775890 | + | 0.116947i | ||||
\(901\) | 20.6567 | − | 14.9192i | 0.688176 | − | 0.497031i | ||||
\(902\) | −3.12714 | −0.104122 | ||||||||
\(903\) | −39.9782 | + | 0.857405i | −1.33039 | + | 0.0285327i | ||||
\(904\) | 88.7155i | 2.95063i | ||||||||
\(905\) | −7.60878 | + | 9.54111i | −0.252925 | + | 0.317157i | ||||
\(906\) | −9.12875 | − | 60.5653i | −0.303282 | − | 2.01215i | ||||
\(907\) | −8.63342 | + | 1.97052i | −0.286668 | + | 0.0654301i | −0.363437 | − | 0.931619i | \(-0.618397\pi\) |
0.0767689 | + | 0.997049i | \(0.475540\pi\) | |||||||
\(908\) | −57.3726 | − | 84.1501i | −1.90398 | − | 2.79262i | ||||
\(909\) | −3.04502 | + | 5.27412i | −0.100997 | + | 0.174932i | ||||
\(910\) | 5.18724 | + | 8.98457i | 0.171955 | + | 0.297836i | ||||
\(911\) | 10.8243 | − | 22.4768i | 0.358624 | − | 0.744691i | −0.641117 | − | 0.767443i | \(-0.721529\pi\) |
0.999741 | + | 0.0227524i | \(0.00724293\pi\) | |||||||
\(912\) | −4.46347 | − | 14.4702i | −0.147800 | − | 0.479157i | ||||
\(913\) | 10.0640 | + | 0.754195i | 0.333071 | + | 0.0249602i | ||||
\(914\) | 3.02955 | − | 13.2733i | 0.100209 | − | 0.439043i | ||||
\(915\) | 7.62682 | − | 2.99331i | 0.252135 | − | 0.0989556i | ||||
\(916\) | 2.08294 | + | 27.7949i | 0.0688222 | + | 0.918369i | ||||
\(917\) | 20.2470 | + | 3.05174i | 0.668615 | + | 0.100777i | ||||
\(918\) | −26.0915 | − | 50.6227i | −0.861148 | − | 1.67080i | ||||
\(919\) | −20.2530 | + | 9.75335i | −0.668086 | + | 0.321733i | −0.737003 | − | 0.675889i | \(-0.763760\pi\) |
0.0689172 | + | 0.997622i | \(0.478046\pi\) | |||||||
\(920\) | −4.28992 | − | 2.92482i | −0.141435 | − | 0.0964284i | ||||
\(921\) | 28.1967 | + | 11.0664i | 0.929112 | + | 0.364650i | ||||
\(922\) | −57.5932 | − | 17.7652i | −1.89673 | − | 0.585064i | ||||
\(923\) | −5.78535 | + | 6.23513i | −0.190427 | + | 0.205232i | ||||
\(924\) | −20.0471 | + | 15.9870i | −0.659500 | + | 0.525934i | ||||
\(925\) | 3.57466 | − | 2.85070i | 0.117534 | − | 0.0937304i | ||||
\(926\) | 10.7186 | + | 9.94544i | 0.352236 | + | 0.326827i | ||||
\(927\) | 2.89139 | + | 0.891875i | 0.0949657 | + | 0.0292930i | ||||
\(928\) | 1.43319 | + | 0.562487i | 0.0470469 | + | 0.0184645i | ||||
\(929\) | −6.36614 | + | 9.33741i | −0.208866 | + | 0.306350i | −0.916349 | − | 0.400380i | \(-0.868878\pi\) |
0.707483 | + | 0.706730i | \(0.249831\pi\) | |||||||
\(930\) | −8.32658 | − | 17.2903i | −0.273039 | − | 0.566972i | ||||
\(931\) | −28.6735 | + | 26.6051i | −0.939734 | + | 0.871946i | ||||
\(932\) | 9.98775 | − | 66.2644i | 0.327159 | − | 2.17056i | ||||
\(933\) | −0.260463 | − | 3.47563i | −0.00852716 | − | 0.113787i | ||||
\(934\) | −0.174944 | − | 0.445749i | −0.00572433 | − | 0.0145854i | ||||
\(935\) | 1.58634 | − | 2.92810i | 0.0518788 | − | 0.0957591i | ||||
\(936\) | 0.576214 | − | 7.68904i | 0.0188341 | − | 0.251324i | ||||
\(937\) | 41.3284 | − | 12.7481i | 1.35014 | − | 0.416463i | 0.466455 | − | 0.884545i | \(-0.345531\pi\) |
0.883685 | + | 0.468082i | \(0.155055\pi\) | |||||||
\(938\) | 44.6303 | − | 92.6758i | 1.45723 | − | 3.02597i | ||||
\(939\) | −16.1413 | − | 27.9575i | −0.526750 | − | 0.912358i | ||||
\(940\) | 2.55737 | + | 1.47650i | 0.0834123 | + | 0.0481581i | ||||
\(941\) | −15.2023 | − | 22.2977i | −0.495582 | − | 0.726885i | 0.494220 | − | 0.869337i | \(-0.335454\pi\) |
−0.989802 | + | 0.142452i | \(0.954501\pi\) | |||||||
\(942\) | 73.6347 | − | 16.8066i | 2.39915 | − | 0.547590i | ||||
\(943\) | −1.57039 | + | 0.236698i | −0.0511390 | + | 0.00770796i | ||||
\(944\) | −28.1032 | + | 35.2403i | −0.914681 | + | 1.14697i | ||||
\(945\) | − | 20.6297i | − | 0.671085i | ||||||
\(946\) | 0.357223 | + | 16.6562i | 0.0116143 | + | 0.541540i | ||||
\(947\) | 15.8677i | 0.515632i | 0.966194 | + | 0.257816i | \(0.0830028\pi\) | ||||
−0.966194 | + | 0.257816i | \(0.916997\pi\) | |||||||
\(948\) | 28.3954 | − | 35.6068i | 0.922241 | − | 1.15645i | ||||
\(949\) | −0.384559 | − | 2.55138i | −0.0124833 | − | 0.0828214i | ||||
\(950\) | −6.24570 | − | 27.3642i | −0.202637 | − | 0.887812i | ||||
\(951\) | 26.3560 | − | 17.9692i | 0.854651 | − | 0.582691i | ||||
\(952\) | −69.5759 | − | 71.0240i | −2.25497 | − | 2.30190i | ||||
\(953\) | 17.6101 | + | 30.5015i | 0.570446 | + | 0.988041i | 0.996520 | + | 0.0833530i | \(0.0265629\pi\) |
−0.426074 | + | 0.904688i | \(0.640104\pi\) | |||||||
\(954\) | −18.0588 | − | 8.69664i | −0.584674 | − | 0.281564i | ||||
\(955\) | 0.333575 | + | 1.08142i | 0.0107942 | + | 0.0349940i | ||||
\(956\) | −7.97241 | + | 106.384i | −0.257846 | + | 3.44072i | ||||
\(957\) | 2.45002 | + | 0.559202i | 0.0791981 | + | 0.0180764i | ||||
\(958\) | 58.1855 | − | 22.8361i | 1.87989 | − | 0.737802i | ||||
\(959\) | −63.9933 | + | 4.79563i | −2.06645 | + | 0.154859i | ||||
\(960\) | −7.01321 | − | 1.05707i | −0.226350 | − | 0.0341168i | ||||
\(961\) | 20.1452 | − | 18.6920i | 0.649844 | − | 0.602967i | ||||
\(962\) | 1.27420 | + | 2.64591i | 0.0410819 | + | 0.0853074i | ||||
\(963\) | 5.88052 | − | 8.62514i | 0.189497 | − | 0.277941i | ||||
\(964\) | 92.9718 | + | 36.4887i | 2.99442 | + | 1.17522i | ||||
\(965\) | −3.11653 | − | 0.961323i | −0.100325 | − | 0.0309461i | ||||
\(966\) | −13.1975 | + | 14.2235i | −0.424622 | + | 0.457633i | ||||
\(967\) | −0.294235 | − | 0.368959i | −0.00946197 | − | 0.0118649i | 0.777078 | − | 0.629404i | \(-0.216701\pi\) |
−0.786540 | + | 0.617539i | \(0.788130\pi\) | |||||||
\(968\) | −31.8062 | − | 39.8837i | −1.02229 | − | 1.28191i | ||||
\(969\) | 11.8365 | − | 7.26844i | 0.380244 | − | 0.233496i | ||||
\(970\) | −21.3456 | − | 6.58425i | −0.685367 | − | 0.211408i | ||||
\(971\) | −9.83312 | + | 25.0544i | −0.315560 | + | 0.804034i | 0.681808 | + | 0.731531i | \(0.261194\pi\) |
−0.997368 | + | 0.0725027i | \(0.976901\pi\) | |||||||
\(972\) | −28.7111 | + | 42.1115i | −0.920909 | + | 1.35073i | ||||
\(973\) | 24.7851 | − | 11.9359i | 0.794574 | − | 0.382646i | ||||
\(974\) | 6.16495 | + | 6.64423i | 0.197538 | + | 0.212895i | ||||
\(975\) | −0.969038 | + | 6.42915i | −0.0310341 | + | 0.205897i | ||||
\(976\) | −36.0899 | + | 2.70456i | −1.15521 | + | 0.0865709i | ||||
\(977\) | 12.4811 | + | 31.8014i | 0.399307 | + | 1.01742i | 0.979231 | + | 0.202747i | \(0.0649868\pi\) |
−0.579924 | + | 0.814670i | \(0.696918\pi\) | |||||||
\(978\) | −12.3151 | + | 53.9561i | −0.393795 | + | 1.72533i | ||||
\(979\) | −5.52037 | − | 0.413694i | −0.176432 | − | 0.0132217i | ||||
\(980\) | −14.2141 | − | 46.0810i | −0.454053 | − | 1.47200i | ||||
\(981\) | −0.980973 | + | 2.03701i | −0.0313200 | + | 0.0650367i | ||||
\(982\) | −6.08130 | − | 10.5331i | −0.194062 | − | 0.336125i | ||||
\(983\) | 21.3162 | + | 12.3069i | 0.679880 | + | 0.392529i | 0.799810 | − | 0.600253i | \(-0.204934\pi\) |
−0.119930 | + | 0.992782i | \(0.538267\pi\) | |||||||
\(984\) | 6.77556 | − | 4.61950i | 0.215997 | − | 0.147264i | ||||
\(985\) | −4.34704 | − | 19.0456i | −0.138508 | − | 0.606844i | ||||
\(986\) | −2.33481 | + | 18.9644i | −0.0743554 | + | 0.603951i | ||||
\(987\) | 3.50887 | − | 4.39998i | 0.111688 | − | 0.140053i | ||||
\(988\) | 12.0993 | 0.384928 | ||||||||
\(989\) | 1.44013 | + | 8.33741i | 0.0457934 | + | 0.265114i | ||||
\(990\) | −2.61958 | −0.0832556 | ||||||||
\(991\) | 23.0515 | + | 18.3830i | 0.732255 | + | 0.583954i | 0.917026 | − | 0.398828i | \(-0.130583\pi\) |
−0.184771 | + | 0.982782i | \(0.559154\pi\) | |||||||
\(992\) | 0.933794 | + | 6.19532i | 0.0296480 | + | 0.196702i | ||||
\(993\) | 3.66796 | − | 0.837187i | 0.116399 | − | 0.0265673i | ||||
\(994\) | 71.2823 | − | 48.5995i | 2.26094 | − | 1.54148i | ||||
\(995\) | −3.15870 | + | 5.47102i | −0.100137 | + | 0.173443i | ||||
\(996\) | −44.9433 | + | 25.9480i | −1.42408 | + | 0.822195i | ||||
\(997\) | 1.43072 | − | 2.97092i | 0.0453114 | − | 0.0940900i | −0.877084 | − | 0.480337i | \(-0.840514\pi\) |
0.922395 | + | 0.386247i | \(0.126229\pi\) | |||||||
\(998\) | 23.4264 | + | 75.9466i | 0.741551 | + | 2.40405i | ||||
\(999\) | 0.436402 | − | 5.82338i | 0.0138071 | − | 0.184244i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 731.2.z.a.67.5 | ✓ | 768 | |
17.16 | even | 2 | inner | 731.2.z.a.67.6 | yes | 768 | |
43.9 | even | 21 | inner | 731.2.z.a.611.6 | yes | 768 | |
731.611 | even | 42 | inner | 731.2.z.a.611.5 | yes | 768 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.z.a.67.5 | ✓ | 768 | 1.1 | even | 1 | trivial | |
731.2.z.a.67.6 | yes | 768 | 17.16 | even | 2 | inner | |
731.2.z.a.611.5 | yes | 768 | 731.611 | even | 42 | inner | |
731.2.z.a.611.6 | yes | 768 | 43.9 | even | 21 | inner |